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Finding the Fourth Proportional to 616.47, 924.24 and 205.36

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Solution

The fourth proportional to 616.47, 924.24 and 205.36 is: 307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.47 : 924.24 = 205.36 : x
  2. Step 2: Convert to fraction form
    616.47/924.24 = 205.36/x
  3. Step 3: Cross multiply
    616.47x = 924.24 × 205.36
  4. Step 4: Simplify right side
    616.47x = 189,801.93
  5. Step 5: Solve for x
    x = 189,801.93/616.47
  6. Step 6: Final answer
    x = 307.89

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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.