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Finding the Fourth Proportional to 417.54, 575.75 and 293.16

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Solution

The fourth proportional to 417.54, 575.75 and 293.16 is: 404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.54 : 575.75 = 293.16 : x
  2. Step 2: Convert to fraction form
    417.54/575.75 = 293.16/x
  3. Step 3: Cross multiply
    417.54x = 575.75 × 293.16
  4. Step 4: Simplify right side
    417.54x = 168,785.44
  5. Step 5: Solve for x
    x = 168,785.44/417.54
  6. Step 6: Final answer
    x = 404.24

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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.