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Finding the Fourth Proportional to 562.04, 842.16 and 446.30

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Solution

The fourth proportional to 562.04, 842.16 and 446.30 is: 668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.04 : 842.16 = 446.30 : x
  2. Step 2: Convert to fraction form
    562.04/842.16 = 446.30/x
  3. Step 3: Cross multiply
    562.04x = 842.16 × 446.30
  4. Step 4: Simplify right side
    562.04x = 375,856.01
  5. Step 5: Solve for x
    x = 375,856.01/562.04
  6. Step 6: Final answer
    x = 668.74

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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.