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Finding the Fourth Proportional to 691.89, 954.51 and 429.75

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Solution

The fourth proportional to 691.89, 954.51 and 429.75 is: 592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.89 : 954.51 = 429.75 : x
  2. Step 2: Convert to fraction form
    691.89/954.51 = 429.75/x
  3. Step 3: Cross multiply
    691.89x = 954.51 × 429.75
  4. Step 4: Simplify right side
    691.89x = 410,200.67
  5. Step 5: Solve for x
    x = 410,200.67/691.89
  6. Step 6: Final answer
    x = 592.87

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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.