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Finding the Fourth Proportional to 711.24, 1,065.72 and 278.16

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Solution

The fourth proportional to 711.24, 1,065.72 and 278.16 is: 416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.24 : 1,065.72 = 278.16 : x
  2. Step 2: Convert to fraction form
    711.24/1,065.72 = 278.16/x
  3. Step 3: Cross multiply
    711.24x = 1,065.72 × 278.16
  4. Step 4: Simplify right side
    711.24x = 296,440.68
  5. Step 5: Solve for x
    x = 296,440.68/711.24
  6. Step 6: Final answer
    x = 416.79

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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.