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Finding the Fourth Proportional to 710.38, 1,065.76 and 277.66

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Solution

The fourth proportional to 710.38, 1,065.76 and 277.66 is: 416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.38 : 1,065.76 = 277.66 : x
  2. Step 2: Convert to fraction form
    710.38/1,065.76 = 277.66/x
  3. Step 3: Cross multiply
    710.38x = 1,065.76 × 277.66
  4. Step 4: Simplify right side
    710.38x = 295,918.92
  5. Step 5: Solve for x
    x = 295,918.92/710.38
  6. Step 6: Final answer
    x = 416.56

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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.