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Finding the Fourth Proportional to 691.75, 954.65 and 429.71

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Solution

The fourth proportional to 691.75, 954.65 and 429.71 is: 593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.75 : 954.65 = 429.71 : x
  2. Step 2: Convert to fraction form
    691.75/954.65 = 429.71/x
  3. Step 3: Cross multiply
    691.75x = 954.65 × 429.71
  4. Step 4: Simplify right side
    691.75x = 410,220.50
  5. Step 5: Solve for x
    x = 410,220.50/691.75
  6. Step 6: Final answer
    x = 593.02

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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.