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Finding the Fourth Proportional to 417.64, 576.30 and 260.29

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Solution

The fourth proportional to 417.64, 576.30 and 260.29 is: 359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.64 : 576.30 = 260.29 : x
  2. Step 2: Convert to fraction form
    417.64/576.30 = 260.29/x
  3. Step 3: Cross multiply
    417.64x = 576.30 × 260.29
  4. Step 4: Simplify right side
    417.64x = 150,002.25
  5. Step 5: Solve for x
    x = 150,002.25/417.64
  6. Step 6: Final answer
    x = 359.17

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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.