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Finding the Fourth Proportional to 478.74, 659.28 and 456.87

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Solution

The fourth proportional to 478.74, 659.28 and 456.87 is: 629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.74 : 659.28 = 456.87 : x
  2. Step 2: Convert to fraction form
    478.74/659.28 = 456.87/x
  3. Step 3: Cross multiply
    478.74x = 659.28 × 456.87
  4. Step 4: Simplify right side
    478.74x = 301,205.25
  5. Step 5: Solve for x
    x = 301,205.25/478.74
  6. Step 6: Final answer
    x = 629.16

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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.