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Finding the Fourth Proportional to 417.62, 576.29 and 260.28

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Solution

The fourth proportional to 417.62, 576.29 and 260.28 is: 359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.62 : 576.29 = 260.28 : x
  2. Step 2: Convert to fraction form
    417.62/576.29 = 260.28/x
  3. Step 3: Cross multiply
    417.62x = 576.29 × 260.28
  4. Step 4: Simplify right side
    417.62x = 149,994.25
  5. Step 5: Solve for x
    x = 149,994.25/417.62
  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.