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Finding the Fourth Proportional to 710.68, 1,066.14 and 223.69

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Solution

The fourth proportional to 710.68, 1,066.14 and 223.69 is: 335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.68 : 1,066.14 = 223.69 : x
  2. Step 2: Convert to fraction form
    710.68/1,066.14 = 223.69/x
  3. Step 3: Cross multiply
    710.68x = 1,066.14 × 223.69
  4. Step 4: Simplify right side
    710.68x = 238,484.86
  5. Step 5: Solve for x
    x = 238,484.86/710.68
  6. Step 6: Final answer
    x = 335.57

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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.