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Finding the Fourth Proportional to 408.32, 612.60 and 351.08

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Solution

The fourth proportional to 408.32, 612.60 and 351.08 is: 526.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.32 : 612.60 = 351.08 : x
  2. Step 2: Convert to fraction form
    408.32/612.60 = 351.08/x
  3. Step 3: Cross multiply
    408.32x = 612.60 × 351.08
  4. Step 4: Simplify right side
    408.32x = 215,071.61
  5. Step 5: Solve for x
    x = 215,071.61/408.32
  6. Step 6: Final answer
    x = 526.72

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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.