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Finding the Fourth Proportional to 417.83, 576.57 and 252

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Solution

The fourth proportional to 417.83, 576.57 and 252 is: 347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.83 : 576.57 = 252 : x
  2. Step 2: Convert to fraction form
    417.83/576.57 = 252/x
  3. Step 3: Cross multiply
    417.83x = 576.57 × 252
  4. Step 4: Simplify right side
    417.83x = 145,295.64
  5. Step 5: Solve for x
    x = 145,295.64/417.83
  6. Step 6: Final answer
    x = 347.74

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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.