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Finding the Fourth Proportional to 702.95, 1,054.19 and 234.29

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Solution

The fourth proportional to 702.95, 1,054.19 and 234.29 is: 351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.95 : 1,054.19 = 234.29 : x
  2. Step 2: Convert to fraction form
    702.95/1,054.19 = 234.29/x
  3. Step 3: Cross multiply
    702.95x = 1,054.19 × 234.29
  4. Step 4: Simplify right side
    702.95x = 246,989.76
  5. Step 5: Solve for x
    x = 246,989.76/702.95
  6. Step 6: Final answer
    x = 351.36

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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.