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Finding the Fourth Proportional to 417.11, 575.69 and 242.48

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Solution

The fourth proportional to 417.11, 575.69 and 242.48 is: 334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.11 : 575.69 = 242.48 : x
  2. Step 2: Convert to fraction form
    417.11/575.69 = 242.48/x
  3. Step 3: Cross multiply
    417.11x = 575.69 × 242.48
  4. Step 4: Simplify right side
    417.11x = 139,589.22
  5. Step 5: Solve for x
    x = 139,589.22/417.11
  6. Step 6: Final answer
    x = 334.66

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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.