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Finding the Fourth Proportional to 711.40, 1,066.30 and 278.24

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Solution

The fourth proportional to 711.40, 1,066.30 and 278.24 is: 417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.40 : 1,066.30 = 278.24 : x
  2. Step 2: Convert to fraction form
    711.40/1,066.30 = 278.24/x
  3. Step 3: Cross multiply
    711.40x = 1,066.30 × 278.24
  4. Step 4: Simplify right side
    711.40x = 296,687.31
  5. Step 5: Solve for x
    x = 296,687.31/711.40
  6. Step 6: Final answer
    x = 417.05

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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.