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Finding the Fourth Proportional to 310.43, 466.23 and 275.15

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Solution

The fourth proportional to 310.43, 466.23 and 275.15 is: 413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.43 : 466.23 = 275.15 : x
  2. Step 2: Convert to fraction form
    310.43/466.23 = 275.15/x
  3. Step 3: Cross multiply
    310.43x = 466.23 × 275.15
  4. Step 4: Simplify right side
    310.43x = 128,283.18
  5. Step 5: Solve for x
    x = 128,283.18/310.43
  6. Step 6: Final answer
    x = 413.24

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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.