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Finding the Fourth Proportional to 417.64, 576.33 and 242.98

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Solution

The fourth proportional to 417.64, 576.33 and 242.98 is: 335.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.64 : 576.33 = 242.98 : x
  2. Step 2: Convert to fraction form
    417.64/576.33 = 242.98/x
  3. Step 3: Cross multiply
    417.64x = 576.33 × 242.98
  4. Step 4: Simplify right side
    417.64x = 140,035.22
  5. Step 5: Solve for x
    x = 140,035.22/417.64
  6. Step 6: Final answer
    x = 335.30

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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.