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Finding the Fourth Proportional to 711.02, 1,066.44 and 278.48

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Solution

The fourth proportional to 711.02, 1,066.44 and 278.48 is: 417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.02 : 1,066.44 = 278.48 : x
  2. Step 2: Convert to fraction form
    711.02/1,066.44 = 278.48/x
  3. Step 3: Cross multiply
    711.02x = 1,066.44 × 278.48
  4. Step 4: Simplify right side
    711.02x = 296,982.21
  5. Step 5: Solve for x
    x = 296,982.21/711.02
  6. Step 6: Final answer
    x = 417.68

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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.