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Finding the Fourth Proportional to 467.74, 701.76 and 416.75

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Solution

The fourth proportional to 467.74, 701.76 and 416.75 is: 625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.74 : 701.76 = 416.75 : x
  2. Step 2: Convert to fraction form
    467.74/701.76 = 416.75/x
  3. Step 3: Cross multiply
    467.74x = 701.76 × 416.75
  4. Step 4: Simplify right side
    467.74x = 292,456.53
  5. Step 5: Solve for x
    x = 292,456.53/467.74
  6. Step 6: Final answer
    x = 625.25

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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.