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Finding the Fourth Proportional to 615.97, 926.25 and 492.85

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Solution

The fourth proportional to 615.97, 926.25 and 492.85 is: 741.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.97 : 926.25 = 492.85 : x
  2. Step 2: Convert to fraction form
    615.97/926.25 = 492.85/x
  3. Step 3: Cross multiply
    615.97x = 926.25 × 492.85
  4. Step 4: Simplify right side
    615.97x = 456,502.31
  5. Step 5: Solve for x
    x = 456,502.31/615.97
  6. Step 6: Final answer
    x = 741.11

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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.