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Finding the Fourth Proportional to 711.58, 1,067.16 and 278.62

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Solution

The fourth proportional to 711.58, 1,067.16 and 278.62 is: 417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.58 : 1,067.16 = 278.62 : x
  2. Step 2: Convert to fraction form
    711.58/1,067.16 = 278.62/x
  3. Step 3: Cross multiply
    711.58x = 1,067.16 × 278.62
  4. Step 4: Simplify right side
    711.58x = 297,332.12
  5. Step 5: Solve for x
    x = 297,332.12/711.58
  6. Step 6: Final answer
    x = 417.85

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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.