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Finding the Fourth Proportional to 417.20, 575.33 and 275.15

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Solution

The fourth proportional to 417.20, 575.33 and 275.15 is: 379.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.20 : 575.33 = 275.15 : x
  2. Step 2: Convert to fraction form
    417.20/575.33 = 275.15/x
  3. Step 3: Cross multiply
    417.20x = 575.33 × 275.15
  4. Step 4: Simplify right side
    417.20x = 158,303.14
  5. Step 5: Solve for x
    x = 158,303.14/417.20
  6. Step 6: Final answer
    x = 379.45

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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.