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Finding the Fourth Proportional to 562.56, 839.68 and 522.50

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Solution

The fourth proportional to 562.56, 839.68 and 522.50 is: 779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.56 : 839.68 = 522.50 : x
  2. Step 2: Convert to fraction form
    562.56/839.68 = 522.50/x
  3. Step 3: Cross multiply
    562.56x = 839.68 × 522.50
  4. Step 4: Simplify right side
    562.56x = 438,732.80
  5. Step 5: Solve for x
    x = 438,732.80/562.56
  6. Step 6: Final answer
    x = 779.89

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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.