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Finding the Fourth Proportional to 562.58, 842.68 and 357.04

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Solution

The fourth proportional to 562.58, 842.68 and 357.04 is: 534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.58 : 842.68 = 357.04 : x
  2. Step 2: Convert to fraction form
    562.58/842.68 = 357.04/x
  3. Step 3: Cross multiply
    562.58x = 842.68 × 357.04
  4. Step 4: Simplify right side
    562.58x = 300,870.47
  5. Step 5: Solve for x
    x = 300,870.47/562.58
  6. Step 6: Final answer
    x = 534.80

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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.