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Finding the Fourth Proportional to 416.81, 575.24 and 242.19

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Solution

The fourth proportional to 416.81, 575.24 and 242.19 is: 334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.81 : 575.24 = 242.19 : x
  2. Step 2: Convert to fraction form
    416.81/575.24 = 242.19/x
  3. Step 3: Cross multiply
    416.81x = 575.24 × 242.19
  4. Step 4: Simplify right side
    416.81x = 139,316.16
  5. Step 5: Solve for x
    x = 139,316.16/416.81
  6. Step 6: Final answer
    x = 334.24

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Why These Related Problems?

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