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Finding the Fourth Proportional to 275.13, 412.35 and 240.81

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Solution

The fourth proportional to 275.13, 412.35 and 240.81 is: 360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.13 : 412.35 = 240.81 : x
  2. Step 2: Convert to fraction form
    275.13/412.35 = 240.81/x
  3. Step 3: Cross multiply
    275.13x = 412.35 × 240.81
  4. Step 4: Simplify right side
    275.13x = 99,298.00
  5. Step 5: Solve for x
    x = 99,298.00/275.13
  6. Step 6: Final answer
    x = 360.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.