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Finding the Fourth Proportional to 492.90, 734.10 and 461.76

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Solution

The fourth proportional to 492.90, 734.10 and 461.76 is: 687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.90 : 734.10 = 461.76 : x
  2. Step 2: Convert to fraction form
    492.90/734.10 = 461.76/x
  3. Step 3: Cross multiply
    492.90x = 734.10 × 461.76
  4. Step 4: Simplify right side
    492.90x = 338,978.02
  5. Step 5: Solve for x
    x = 338,978.02/492.90
  6. Step 6: Final answer
    x = 687.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.