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Finding the Fourth Proportional to 641.57, 885.45 and 405.56

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Solution

The fourth proportional to 641.57, 885.45 and 405.56 is: 559.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.57 : 885.45 = 405.56 : x
  2. Step 2: Convert to fraction form
    641.57/885.45 = 405.56/x
  3. Step 3: Cross multiply
    641.57x = 885.45 × 405.56
  4. Step 4: Simplify right side
    641.57x = 359,098.67
  5. Step 5: Solve for x
    x = 359,098.67/641.57
  6. Step 6: Final answer
    x = 559.72

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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.