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Finding the Fourth Proportional to 698.77, 964.94 and 450.51

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Solution

The fourth proportional to 698.77, 964.94 and 450.51 is: 622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.77 : 964.94 = 450.51 : x
  2. Step 2: Convert to fraction form
    698.77/964.94 = 450.51/x
  3. Step 3: Cross multiply
    698.77x = 964.94 × 450.51
  4. Step 4: Simplify right side
    698.77x = 434,715.12
  5. Step 5: Solve for x
    x = 434,715.12/698.77
  6. Step 6: Final answer
    x = 622.12

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Find fourth proportional to 349.38, 482.47 and 225.26
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.