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Finding the Fourth Proportional to 478.68, 660.24 and 313.02

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Solution

The fourth proportional to 478.68, 660.24 and 313.02 is: 431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.68 : 660.24 = 313.02 : x
  2. Step 2: Convert to fraction form
    478.68/660.24 = 313.02/x
  3. Step 3: Cross multiply
    478.68x = 660.24 × 313.02
  4. Step 4: Simplify right side
    478.68x = 206,668.32
  5. Step 5: Solve for x
    x = 206,668.32/478.68
  6. Step 6: Final answer
    x = 431.75

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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.