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Finding the Fourth Proportional to 297.48, 411.02 and 260.58

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Solution

The fourth proportional to 297.48, 411.02 and 260.58 is: 360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.48 : 411.02 = 260.58 : x
  2. Step 2: Convert to fraction form
    297.48/411.02 = 260.58/x
  3. Step 3: Cross multiply
    297.48x = 411.02 × 260.58
  4. Step 4: Simplify right side
    297.48x = 107,103.59
  5. Step 5: Solve for x
    x = 107,103.59/297.48
  6. Step 6: Final answer
    x = 360.04

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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.