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Finding the Fourth Proportional to 417.29, 575.40 and 355.02

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Solution

The fourth proportional to 417.29, 575.40 and 355.02 is: 489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.29 : 575.40 = 355.02 : x
  2. Step 2: Convert to fraction form
    417.29/575.40 = 355.02/x
  3. Step 3: Cross multiply
    417.29x = 575.40 × 355.02
  4. Step 4: Simplify right side
    417.29x = 204,277.68
  5. Step 5: Solve for x
    x = 204,277.68/417.29
  6. Step 6: Final answer
    x = 489.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.