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Finding the Fourth Proportional to 562.42, 842.71 and 446.24

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Solution

The fourth proportional to 562.42, 842.71 and 446.24 is: 668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.42 : 842.71 = 446.24 : x
  2. Step 2: Convert to fraction form
    562.42/842.71 = 446.24/x
  3. Step 3: Cross multiply
    562.42x = 842.71 × 446.24
  4. Step 4: Simplify right side
    562.42x = 376,044.47
  5. Step 5: Solve for x
    x = 376,044.47/562.42
  6. Step 6: Final answer
    x = 668.62

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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.