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Finding the Fourth Proportional to 474.32, 709.92 and 352.82

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Solution

The fourth proportional to 474.32, 709.92 and 352.82 is: 528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.32 : 709.92 = 352.82 : x
  2. Step 2: Convert to fraction form
    474.32/709.92 = 352.82/x
  3. Step 3: Cross multiply
    474.32x = 709.92 × 352.82
  4. Step 4: Simplify right side
    474.32x = 250,473.97
  5. Step 5: Solve for x
    x = 250,473.97/474.32
  6. Step 6: Final answer
    x = 528.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.