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Finding the Fourth Proportional to 384.01, 576.01 and 307.46

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Solution

The fourth proportional to 384.01, 576.01 and 307.46 is: 461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.01 : 576.01 = 307.46 : x
  2. Step 2: Convert to fraction form
    384.01/576.01 = 307.46/x
  3. Step 3: Cross multiply
    384.01x = 576.01 × 307.46
  4. Step 4: Simplify right side
    384.01x = 177,101.86
  5. Step 5: Solve for x
    x = 177,101.86/384.01
  6. Step 6: Final answer
    x = 461.19

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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.