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Finding the Fourth Proportional to 417.64, 576.28 and 251.84

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Solution

The fourth proportional to 417.64, 576.28 and 251.84 is: 347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.64 : 576.28 = 251.84 : x
  2. Step 2: Convert to fraction form
    417.64/576.28 = 251.84/x
  3. Step 3: Cross multiply
    417.64x = 576.28 × 251.84
  4. Step 4: Simplify right side
    417.64x = 145,130.36
  5. Step 5: Solve for x
    x = 145,130.36/417.64
  6. Step 6: Final answer
    x = 347.50

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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.