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Finding the Fourth Proportional to 561.32, 842.28 and 318.12

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Solution

The fourth proportional to 561.32, 842.28 and 318.12 is: 477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.32 : 842.28 = 318.12 : x
  2. Step 2: Convert to fraction form
    561.32/842.28 = 318.12/x
  3. Step 3: Cross multiply
    561.32x = 842.28 × 318.12
  4. Step 4: Simplify right side
    561.32x = 267,946.11
  5. Step 5: Solve for x
    x = 267,946.11/561.32
  6. Step 6: Final answer
    x = 477.35

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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.