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Finding the Fourth Proportional to 564.48, 841.14 and 532.08

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Solution

The fourth proportional to 564.48, 841.14 and 532.08 is: 792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.48 : 841.14 = 532.08 : x
  2. Step 2: Convert to fraction form
    564.48/841.14 = 532.08/x
  3. Step 3: Cross multiply
    564.48x = 841.14 × 532.08
  4. Step 4: Simplify right side
    564.48x = 447,553.77
  5. Step 5: Solve for x
    x = 447,553.77/564.48
  6. Step 6: Final answer
    x = 792.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.