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Finding the Fourth Proportional to 560.11, 838.32 and 354.82

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Solution

The fourth proportional to 560.11, 838.32 and 354.82 is: 531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.11 : 838.32 = 354.82 : x
  2. Step 2: Convert to fraction form
    560.11/838.32 = 354.82/x
  3. Step 3: Cross multiply
    560.11x = 838.32 × 354.82
  4. Step 4: Simplify right side
    560.11x = 297,452.70
  5. Step 5: Solve for x
    x = 297,452.70/560.11
  6. Step 6: Final answer
    x = 531.06

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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.