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Finding the Fourth Proportional to 710.84, 1,066.16 and 223.83

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Solution

The fourth proportional to 710.84, 1,066.16 and 223.83 is: 335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.84 : 1,066.16 = 223.83 : x
  2. Step 2: Convert to fraction form
    710.84/1,066.16 = 223.83/x
  3. Step 3: Cross multiply
    710.84x = 1,066.16 × 223.83
  4. Step 4: Simplify right side
    710.84x = 238,639.15
  5. Step 5: Solve for x
    x = 238,639.15/710.84
  6. Step 6: Final answer
    x = 335.71

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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.