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Finding the Fourth Proportional to 802.70, 1,204.16 and 275.71

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Solution

The fourth proportional to 802.70, 1,204.16 and 275.71 is: 413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.70 : 1,204.16 = 275.71 : x
  2. Step 2: Convert to fraction form
    802.70/1,204.16 = 275.71/x
  3. Step 3: Cross multiply
    802.70x = 1,204.16 × 275.71
  4. Step 4: Simplify right side
    802.70x = 332,000.93
  5. Step 5: Solve for x
    x = 332,000.93/802.70
  6. Step 6: Final answer
    x = 413.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.