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Finding the Fourth Proportional to 560.31, 838.71 and 354.17

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Solution

The fourth proportional to 560.31, 838.71 and 354.17 is: 530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.31 : 838.71 = 354.17 : x
  2. Step 2: Convert to fraction form
    560.31/838.71 = 354.17/x
  3. Step 3: Cross multiply
    560.31x = 838.71 × 354.17
  4. Step 4: Simplify right side
    560.31x = 297,041.73
  5. Step 5: Solve for x
    x = 297,041.73/560.31
  6. Step 6: Final answer
    x = 530.14

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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.