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Finding the Fourth Proportional to 417.60, 576.16 and 242.84

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Solution

The fourth proportional to 417.60, 576.16 and 242.84 is: 335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.60 : 576.16 = 242.84 : x
  2. Step 2: Convert to fraction form
    417.60/576.16 = 242.84/x
  3. Step 3: Cross multiply
    417.60x = 576.16 × 242.84
  4. Step 4: Simplify right side
    417.60x = 139,914.69
  5. Step 5: Solve for x
    x = 139,914.69/417.60
  6. Step 6: Final answer
    x = 335.04

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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.