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Finding the Fourth Proportional to 691.74, 954.32 and 429.57

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Solution

The fourth proportional to 691.74, 954.32 and 429.57 is: 592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.74 : 954.32 = 429.57 : x
  2. Step 2: Convert to fraction form
    691.74/954.32 = 429.57/x
  3. Step 3: Cross multiply
    691.74x = 954.32 × 429.57
  4. Step 4: Simplify right side
    691.74x = 409,945.09
  5. Step 5: Solve for x
    x = 409,945.09/691.74
  6. Step 6: Final answer
    x = 592.63

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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.