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Finding the Fourth Proportional to 478.29, 659.70 and 312.33

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Solution

The fourth proportional to 478.29, 659.70 and 312.33 is: 430.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.29 : 659.70 = 312.33 : x
  2. Step 2: Convert to fraction form
    478.29/659.70 = 312.33/x
  3. Step 3: Cross multiply
    478.29x = 659.70 × 312.33
  4. Step 4: Simplify right side
    478.29x = 206,044.10
  5. Step 5: Solve for x
    x = 206,044.10/478.29
  6. Step 6: Final answer
    x = 430.79

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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.