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Finding the Fourth Proportional to 710.68, 1,066.32 and 278.14

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Solution

The fourth proportional to 710.68, 1,066.32 and 278.14 is: 417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.68 : 1,066.32 = 278.14 : x
  2. Step 2: Convert to fraction form
    710.68/1,066.32 = 278.14/x
  3. Step 3: Cross multiply
    710.68x = 1,066.32 × 278.14
  4. Step 4: Simplify right side
    710.68x = 296,586.24
  5. Step 5: Solve for x
    x = 296,586.24/710.68
  6. Step 6: Final answer
    x = 417.33

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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.