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Finding the Fourth Proportional to 616.55, 924.49 and 421.77

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Solution

The fourth proportional to 616.55, 924.49 and 421.77 is: 632.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.55 : 924.49 = 421.77 : x
  2. Step 2: Convert to fraction form
    616.55/924.49 = 421.77/x
  3. Step 3: Cross multiply
    616.55x = 924.49 × 421.77
  4. Step 4: Simplify right side
    616.55x = 389,926.14
  5. Step 5: Solve for x
    x = 389,926.14/616.55
  6. Step 6: Final answer
    x = 632.43

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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.