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Finding the Fourth Proportional to 487.26, 730.67 and 240.30

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Solution

The fourth proportional to 487.26, 730.67 and 240.30 is: 360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.26 : 730.67 = 240.30 : x
  2. Step 2: Convert to fraction form
    487.26/730.67 = 240.30/x
  3. Step 3: Cross multiply
    487.26x = 730.67 × 240.30
  4. Step 4: Simplify right side
    487.26x = 175,580.14
  5. Step 5: Solve for x
    x = 175,580.14/487.26
  6. Step 6: Final answer
    x = 360.34

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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.