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Finding the Fourth Proportional to 417.54, 576.25 and 260.23

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Solution

The fourth proportional to 417.54, 576.25 and 260.23 is: 359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.54 : 576.25 = 260.23 : x
  2. Step 2: Convert to fraction form
    417.54/576.25 = 260.23/x
  3. Step 3: Cross multiply
    417.54x = 576.25 × 260.23
  4. Step 4: Simplify right side
    417.54x = 149,956.53
  5. Step 5: Solve for x
    x = 149,956.53/417.54
  6. Step 6: Final answer
    x = 359.14

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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.