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Finding the Fourth Proportional to 616.20, 924.30 and 589.55

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Solution

The fourth proportional to 616.20, 924.30 and 589.55 is: 884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.20 : 924.30 = 589.55 : x
  2. Step 2: Convert to fraction form
    616.20/924.30 = 589.55/x
  3. Step 3: Cross multiply
    616.20x = 924.30 × 589.55
  4. Step 4: Simplify right side
    616.20x = 544,916.44
  5. Step 5: Solve for x
    x = 544,916.44/616.20
  6. Step 6: Final answer
    x = 884.32

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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.