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Finding the Fourth Proportional to 562.76, 842.85 and 497.06

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Solution

The fourth proportional to 562.76, 842.85 and 497.06 is: 744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.76 : 842.85 = 497.06 : x
  2. Step 2: Convert to fraction form
    562.76/842.85 = 497.06/x
  3. Step 3: Cross multiply
    562.76x = 842.85 × 497.06
  4. Step 4: Simplify right side
    562.76x = 418,950.99
  5. Step 5: Solve for x
    x = 418,950.99/562.76
  6. Step 6: Final answer
    x = 744.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.