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Finding the Fourth Proportional to 372.84, 559.80 and 275.64

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Solution

The fourth proportional to 372.84, 559.80 and 275.64 is: 413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.84 : 559.80 = 275.64 : x
  2. Step 2: Convert to fraction form
    372.84/559.80 = 275.64/x
  3. Step 3: Cross multiply
    372.84x = 559.80 × 275.64
  4. Step 4: Simplify right side
    372.84x = 154,303.27
  5. Step 5: Solve for x
    x = 154,303.27/372.84
  6. Step 6: Final answer
    x = 413.86

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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.