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Finding the Fourth Proportional to 447.68, 616.88 and 307.84

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Solution

The fourth proportional to 447.68, 616.88 and 307.84 is: 424.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.68 : 616.88 = 307.84 : x
  2. Step 2: Convert to fraction form
    447.68/616.88 = 307.84/x
  3. Step 3: Cross multiply
    447.68x = 616.88 × 307.84
  4. Step 4: Simplify right side
    447.68x = 189,900.34
  5. Step 5: Solve for x
    x = 189,900.34/447.68
  6. Step 6: Final answer
    x = 424.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.