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Finding the Fourth Proportional to 699.30, 965.07 and 450.77

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Solution

The fourth proportional to 699.30, 965.07 and 450.77 is: 622.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.30 : 965.07 = 450.77 : x
  2. Step 2: Convert to fraction form
    699.30/965.07 = 450.77/x
  3. Step 3: Cross multiply
    699.30x = 965.07 × 450.77
  4. Step 4: Simplify right side
    699.30x = 435,019.78
  5. Step 5: Solve for x
    x = 435,019.78/699.30
  6. Step 6: Final answer
    x = 622.08

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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.