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Finding the Fourth Proportional to 562.23, 840.92 and 482.04

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Solution

The fourth proportional to 562.23, 840.92 and 482.04 is: 720.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.23 : 840.92 = 482.04 : x
  2. Step 2: Convert to fraction form
    562.23/840.92 = 482.04/x
  3. Step 3: Cross multiply
    562.23x = 840.92 × 482.04
  4. Step 4: Simplify right side
    562.23x = 405,354.67
  5. Step 5: Solve for x
    x = 405,354.67/562.23
  6. Step 6: Final answer
    x = 720.98

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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.