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Finding the Fourth Proportional to 387.72, 580.77 and 264.47

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Solution

The fourth proportional to 387.72, 580.77 and 264.47 is: 396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.72 : 580.77 = 264.47 : x
  2. Step 2: Convert to fraction form
    387.72/580.77 = 264.47/x
  3. Step 3: Cross multiply
    387.72x = 580.77 × 264.47
  4. Step 4: Simplify right side
    387.72x = 153,593.34
  5. Step 5: Solve for x
    x = 153,593.34/387.72
  6. Step 6: Final answer
    x = 396.14

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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.