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Finding the Fourth Proportional to 417.71, 621.88 and 415.68

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Solution

The fourth proportional to 417.71, 621.88 and 415.68 is: 618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.71 : 621.88 = 415.68 : x
  2. Step 2: Convert to fraction form
    417.71/621.88 = 415.68/x
  3. Step 3: Cross multiply
    417.71x = 621.88 × 415.68
  4. Step 4: Simplify right side
    417.71x = 258,503.21
  5. Step 5: Solve for x
    x = 258,503.21/417.71
  6. Step 6: Final answer
    x = 618.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.