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Finding the Fourth Proportional to 416.90, 575.40 and 398.45

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Solution

The fourth proportional to 416.90, 575.40 and 398.45 is: 549.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.90 : 575.40 = 398.45 : x
  2. Step 2: Convert to fraction form
    416.90/575.40 = 398.45/x
  3. Step 3: Cross multiply
    416.90x = 575.40 × 398.45
  4. Step 4: Simplify right side
    416.90x = 229,269.57
  5. Step 5: Solve for x
    x = 229,269.57/416.90
  6. Step 6: Final answer
    x = 549.94

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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.