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Finding the Fourth Proportional to 714.31, 1,071.52 and 275.77

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Solution

The fourth proportional to 714.31, 1,071.52 and 275.77 is: 413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.31 : 1,071.52 = 275.77 : x
  2. Step 2: Convert to fraction form
    714.31/1,071.52 = 275.77/x
  3. Step 3: Cross multiply
    714.31x = 1,071.52 × 275.77
  4. Step 4: Simplify right side
    714.31x = 295,493.07
  5. Step 5: Solve for x
    x = 295,493.07/714.31
  6. Step 6: Final answer
    x = 413.68

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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.