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Finding the Fourth Proportional to 411.40, 617.08 and 248.92

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Solution

The fourth proportional to 411.40, 617.08 and 248.92 is: 373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.40 : 617.08 = 248.92 : x
  2. Step 2: Convert to fraction form
    411.40/617.08 = 248.92/x
  3. Step 3: Cross multiply
    411.40x = 617.08 × 248.92
  4. Step 4: Simplify right side
    411.40x = 153,603.55
  5. Step 5: Solve for x
    x = 153,603.55/411.40
  6. Step 6: Final answer
    x = 373.37

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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.