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Finding the Fourth Proportional to 421.92, 630.72 and 293.76

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Solution

The fourth proportional to 421.92, 630.72 and 293.76 is: 439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.92 : 630.72 = 293.76 : x
  2. Step 2: Convert to fraction form
    421.92/630.72 = 293.76/x
  3. Step 3: Cross multiply
    421.92x = 630.72 × 293.76
  4. Step 4: Simplify right side
    421.92x = 185,280.31
  5. Step 5: Solve for x
    x = 185,280.31/421.92
  6. Step 6: Final answer
    x = 439.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.