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Finding the Fourth Proportional to 711.40, 1,066.66 and 278.46

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Solution

The fourth proportional to 711.40, 1,066.66 and 278.46 is: 417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.40 : 1,066.66 = 278.46 : x
  2. Step 2: Convert to fraction form
    711.40/1,066.66 = 278.46/x
  3. Step 3: Cross multiply
    711.40x = 1,066.66 × 278.46
  4. Step 4: Simplify right side
    711.40x = 297,022.14
  5. Step 5: Solve for x
    x = 297,022.14/711.40
  6. Step 6: Final answer
    x = 417.52

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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.