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Finding the Fourth Proportional to 478.24, 659.69 and 412.11

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Solution

The fourth proportional to 478.24, 659.69 and 412.11 is: 568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.24 : 659.69 = 412.11 : x
  2. Step 2: Convert to fraction form
    478.24/659.69 = 412.11/x
  3. Step 3: Cross multiply
    478.24x = 659.69 × 412.11
  4. Step 4: Simplify right side
    478.24x = 271,865.90
  5. Step 5: Solve for x
    x = 271,865.90/478.24
  6. Step 6: Final answer
    x = 568.48

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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.