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Finding the Fourth Proportional to 397.50, 596.28 and 275.76

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Solution

The fourth proportional to 397.50, 596.28 and 275.76 is: 413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.50 : 596.28 = 275.76 : x
  2. Step 2: Convert to fraction form
    397.50/596.28 = 275.76/x
  3. Step 3: Cross multiply
    397.50x = 596.28 × 275.76
  4. Step 4: Simplify right side
    397.50x = 164,430.17
  5. Step 5: Solve for x
    x = 164,430.17/397.50
  6. Step 6: Final answer
    x = 413.66

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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.