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Finding the Fourth Proportional to 710.61, 1,066.14 and 223.76

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Solution

The fourth proportional to 710.61, 1,066.14 and 223.76 is: 335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.61 : 1,066.14 = 223.76 : x
  2. Step 2: Convert to fraction form
    710.61/1,066.14 = 223.76/x
  3. Step 3: Cross multiply
    710.61x = 1,066.14 × 223.76
  4. Step 4: Simplify right side
    710.61x = 238,554.16
  5. Step 5: Solve for x
    x = 238,554.16/710.61
  6. Step 6: Final answer
    x = 335.70

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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.