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Finding the Fourth Proportional to 616.60, 924.90 and 546.40

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Solution

The fourth proportional to 616.60, 924.90 and 546.40 is: 819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.60 : 924.90 = 546.40 : x
  2. Step 2: Convert to fraction form
    616.60/924.90 = 546.40/x
  3. Step 3: Cross multiply
    616.60x = 924.90 × 546.40
  4. Step 4: Simplify right side
    616.60x = 505,365.36
  5. Step 5: Solve for x
    x = 505,365.36/616.60
  6. Step 6: Final answer
    x = 819.60

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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.