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Finding the Fourth Proportional to 645.31, 890.24 and 429.78

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Solution

The fourth proportional to 645.31, 890.24 and 429.78 is: 592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.31 : 890.24 = 429.78 : x
  2. Step 2: Convert to fraction form
    645.31/890.24 = 429.78/x
  3. Step 3: Cross multiply
    645.31x = 890.24 × 429.78
  4. Step 4: Simplify right side
    645.31x = 382,608.42
  5. Step 5: Solve for x
    x = 382,608.42/645.31
  6. Step 6: Final answer
    x = 592.91

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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.