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Finding the Fourth Proportional to 487.48, 730.06 and 371.78

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Solution

The fourth proportional to 487.48, 730.06 and 371.78 is: 556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.48 : 730.06 = 371.78 : x
  2. Step 2: Convert to fraction form
    487.48/730.06 = 371.78/x
  3. Step 3: Cross multiply
    487.48x = 730.06 × 371.78
  4. Step 4: Simplify right side
    487.48x = 271,421.71
  5. Step 5: Solve for x
    x = 271,421.71/487.48
  6. Step 6: Final answer
    x = 556.79

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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.