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Finding the Fourth Proportional to 479.46, 660.26 and 412.52

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Solution

The fourth proportional to 479.46, 660.26 and 412.52 is: 568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.46 : 660.26 = 412.52 : x
  2. Step 2: Convert to fraction form
    479.46/660.26 = 412.52/x
  3. Step 3: Cross multiply
    479.46x = 660.26 × 412.52
  4. Step 4: Simplify right side
    479.46x = 272,370.46
  5. Step 5: Solve for x
    x = 272,370.46/479.46
  6. Step 6: Final answer
    x = 568.08

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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.