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Finding the Fourth Proportional to 562.53, 842.99 and 446.50

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Solution

The fourth proportional to 562.53, 842.99 and 446.50 is: 669.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.53 : 842.99 = 446.50 : x
  2. Step 2: Convert to fraction form
    562.53/842.99 = 446.50/x
  3. Step 3: Cross multiply
    562.53x = 842.99 × 446.50
  4. Step 4: Simplify right side
    562.53x = 376,395.04
  5. Step 5: Solve for x
    x = 376,395.04/562.53
  6. Step 6: Final answer
    x = 669.11

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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.