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Finding the Fourth Proportional to 478.24, 659.69 and 345.31

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Solution

The fourth proportional to 478.24, 659.69 and 345.31 is: 476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.24 : 659.69 = 345.31 : x
  2. Step 2: Convert to fraction form
    478.24/659.69 = 345.31/x
  3. Step 3: Cross multiply
    478.24x = 659.69 × 345.31
  4. Step 4: Simplify right side
    478.24x = 227,801.13
  5. Step 5: Solve for x
    x = 227,801.13/478.24
  6. Step 6: Final answer
    x = 476.33

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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.