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Finding the Fourth Proportional to 615.31, 922.89 and 538.32

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Solution

The fourth proportional to 615.31, 922.89 and 538.32 is: 807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.31 : 922.89 = 538.32 : x
  2. Step 2: Convert to fraction form
    615.31/922.89 = 538.32/x
  3. Step 3: Cross multiply
    615.31x = 922.89 × 538.32
  4. Step 4: Simplify right side
    615.31x = 496,810.14
  5. Step 5: Solve for x
    x = 496,810.14/615.31
  6. Step 6: Final answer
    x = 807.41

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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.