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Finding the Fourth Proportional to 713.42, 1,070.15 and 219.84

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Solution

The fourth proportional to 713.42, 1,070.15 and 219.84 is: 329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.42 : 1,070.15 = 219.84 : x
  2. Step 2: Convert to fraction form
    713.42/1,070.15 = 219.84/x
  3. Step 3: Cross multiply
    713.42x = 1,070.15 × 219.84
  4. Step 4: Simplify right side
    713.42x = 235,261.78
  5. Step 5: Solve for x
    x = 235,261.78/713.42
  6. Step 6: Final answer
    x = 329.77

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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.