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Finding the Fourth Proportional to 616.04, 923.40 and 307.44

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Solution

The fourth proportional to 616.04, 923.40 and 307.44 is: 460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.04 : 923.40 = 307.44 : x
  2. Step 2: Convert to fraction form
    616.04/923.40 = 307.44/x
  3. Step 3: Cross multiply
    616.04x = 923.40 × 307.44
  4. Step 4: Simplify right side
    616.04x = 283,890.10
  5. Step 5: Solve for x
    x = 283,890.10/616.04
  6. Step 6: Final answer
    x = 460.83

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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.