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Finding the Fourth Proportional to 417.76, 576.32 and 243

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Solution

The fourth proportional to 417.76, 576.32 and 243 is: 335.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.76 : 576.32 = 243 : x
  2. Step 2: Convert to fraction form
    417.76/576.32 = 243/x
  3. Step 3: Cross multiply
    417.76x = 576.32 × 243
  4. Step 4: Simplify right side
    417.76x = 140,044.55
  5. Step 5: Solve for x
    x = 140,044.55/417.76
  6. Step 6: Final answer
    x = 335.23

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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.