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Finding the Fourth Proportional to 544.95, 813.50 and 462.92

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Solution

The fourth proportional to 544.95, 813.50 and 462.92 is: 691.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.95 : 813.50 = 462.92 : x
  2. Step 2: Convert to fraction form
    544.95/813.50 = 462.92/x
  3. Step 3: Cross multiply
    544.95x = 813.50 × 462.92
  4. Step 4: Simplify right side
    544.95x = 376,580.77
  5. Step 5: Solve for x
    x = 376,580.77/544.95
  6. Step 6: Final answer
    x = 691.04

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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.