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Finding the Fourth Proportional to 695.13, 1,042.47 and 232.77

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Solution

The fourth proportional to 695.13, 1,042.47 and 232.77 is: 349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.13 : 1,042.47 = 232.77 : x
  2. Step 2: Convert to fraction form
    695.13/1,042.47 = 232.77/x
  3. Step 3: Cross multiply
    695.13x = 1,042.47 × 232.77
  4. Step 4: Simplify right side
    695.13x = 242,655.74
  5. Step 5: Solve for x
    x = 242,655.74/695.13
  6. Step 6: Final answer
    x = 349.08

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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.