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Finding the Fourth Proportional to 447, 616.38 and 307.32

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Solution

The fourth proportional to 447, 616.38 and 307.32 is: 423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    447 : 616.38 = 307.32 : x
  2. Step 2: Convert to fraction form
    447/616.38 = 307.32/x
  3. Step 3: Cross multiply
    447x = 616.38 × 307.32
  4. Step 4: Simplify right side
    447x = 189,425.90
  5. Step 5: Solve for x
    x = 189,425.90/447
  6. Step 6: Final answer
    x = 423.77

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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.