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Finding the Fourth Proportional to 310.15, 464.55 and 275.95

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Solution

The fourth proportional to 310.15, 464.55 and 275.95 is: 413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.15 : 464.55 = 275.95 : x
  2. Step 2: Convert to fraction form
    310.15/464.55 = 275.95/x
  3. Step 3: Cross multiply
    310.15x = 464.55 × 275.95
  4. Step 4: Simplify right side
    310.15x = 128,192.57
  5. Step 5: Solve for x
    x = 128,192.57/310.15
  6. Step 6: Final answer
    x = 413.32

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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.