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Finding the Fourth Proportional to 474.48, 711.66 and 352.92

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Solution

The fourth proportional to 474.48, 711.66 and 352.92 is: 529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.48 : 711.66 = 352.92 : x
  2. Step 2: Convert to fraction form
    474.48/711.66 = 352.92/x
  3. Step 3: Cross multiply
    474.48x = 711.66 × 352.92
  4. Step 4: Simplify right side
    474.48x = 251,159.05
  5. Step 5: Solve for x
    x = 251,159.05/474.48
  6. Step 6: Final answer
    x = 529.34

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