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Finding the Fourth Proportional to 478.42, 660.07 and 312.87

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Solution

The fourth proportional to 478.42, 660.07 and 312.87 is: 431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.42 : 660.07 = 312.87 : x
  2. Step 2: Convert to fraction form
    478.42/660.07 = 312.87/x
  3. Step 3: Cross multiply
    478.42x = 660.07 × 312.87
  4. Step 4: Simplify right side
    478.42x = 206,516.10
  5. Step 5: Solve for x
    x = 206,516.10/478.42
  6. Step 6: Final answer
    x = 431.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.