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Finding the Fourth Proportional to 702.34, 1,053.14 and 233.69

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Solution

The fourth proportional to 702.34, 1,053.14 and 233.69 is: 350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.34 : 1,053.14 = 233.69 : x
  2. Step 2: Convert to fraction form
    702.34/1,053.14 = 233.69/x
  3. Step 3: Cross multiply
    702.34x = 1,053.14 × 233.69
  4. Step 4: Simplify right side
    702.34x = 246,101.85
  5. Step 5: Solve for x
    x = 246,101.85/702.34
  6. Step 6: Final answer
    x = 350.40

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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.