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Finding the Fourth Proportional to 698.77, 964.35 and 462.31

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Solution

The fourth proportional to 698.77, 964.35 and 462.31 is: 638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.77 : 964.35 = 462.31 : x
  2. Step 2: Convert to fraction form
    698.77/964.35 = 462.31/x
  3. Step 3: Cross multiply
    698.77x = 964.35 × 462.31
  4. Step 4: Simplify right side
    698.77x = 445,830.43
  5. Step 5: Solve for x
    x = 445,830.43/698.77
  6. Step 6: Final answer
    x = 638.02

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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.