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Finding the Fourth Proportional to 478.11, 659.69 and 312.57

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Solution

The fourth proportional to 478.11, 659.69 and 312.57 is: 431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.11 : 659.69 = 312.57 : x
  2. Step 2: Convert to fraction form
    478.11/659.69 = 312.57/x
  3. Step 3: Cross multiply
    478.11x = 659.69 × 312.57
  4. Step 4: Simplify right side
    478.11x = 206,197.61
  5. Step 5: Solve for x
    x = 206,197.61/478.11
  6. Step 6: Final answer
    x = 431.28

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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.