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Finding the Fourth Proportional to 387.42, 581.96 and 243.24

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Solution

The fourth proportional to 387.42, 581.96 and 243.24 is: 365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.42 : 581.96 = 243.24 : x
  2. Step 2: Convert to fraction form
    387.42/581.96 = 243.24/x
  3. Step 3: Cross multiply
    387.42x = 581.96 × 243.24
  4. Step 4: Simplify right side
    387.42x = 141,551.82
  5. Step 5: Solve for x
    x = 141,551.82/387.42
  6. Step 6: Final answer
    x = 365.38

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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.