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Finding the Fourth Proportional to 562.12, 842.26 and 355.86

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Solution

The fourth proportional to 562.12, 842.26 and 355.86 is: 533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.12 : 842.26 = 355.86 : x
  2. Step 2: Convert to fraction form
    562.12/842.26 = 355.86/x
  3. Step 3: Cross multiply
    562.12x = 842.26 × 355.86
  4. Step 4: Simplify right side
    562.12x = 299,726.64
  5. Step 5: Solve for x
    x = 299,726.64/562.12
  6. Step 6: Final answer
    x = 533.21

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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.