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Finding the Fourth Proportional to 492.70, 740.15 and 411.70

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Solution

The fourth proportional to 492.70, 740.15 and 411.70 is: 618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.70 : 740.15 = 411.70 : x
  2. Step 2: Convert to fraction form
    492.70/740.15 = 411.70/x
  3. Step 3: Cross multiply
    492.70x = 740.15 × 411.70
  4. Step 4: Simplify right side
    492.70x = 304,719.76
  5. Step 5: Solve for x
    x = 304,719.76/492.70
  6. Step 6: Final answer
    x = 618.47

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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.