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Finding the Fourth Proportional to 562.66, 842.91 and 274.30

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Solution

The fourth proportional to 562.66, 842.91 and 274.30 is: 410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.66 : 842.91 = 274.30 : x
  2. Step 2: Convert to fraction form
    562.66/842.91 = 274.30/x
  3. Step 3: Cross multiply
    562.66x = 842.91 × 274.30
  4. Step 4: Simplify right side
    562.66x = 231,210.21
  5. Step 5: Solve for x
    x = 231,210.21/562.66
  6. Step 6: Final answer
    x = 410.92

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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.