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Finding the Fourth Proportional to 486.24, 728.34 and 293.76

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Solution

The fourth proportional to 486.24, 728.34 and 293.76 is: 440.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.24 : 728.34 = 293.76 : x
  2. Step 2: Convert to fraction form
    486.24/728.34 = 293.76/x
  3. Step 3: Cross multiply
    486.24x = 728.34 × 293.76
  4. Step 4: Simplify right side
    486.24x = 213,957.16
  5. Step 5: Solve for x
    x = 213,957.16/486.24
  6. Step 6: Final answer
    x = 440.02

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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.