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Finding the Fourth Proportional to 702.40, 1,052.24 and 409.16

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Solution

The fourth proportional to 702.40, 1,052.24 and 409.16 is: 612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.40 : 1,052.24 = 409.16 : x
  2. Step 2: Convert to fraction form
    702.40/1,052.24 = 409.16/x
  3. Step 3: Cross multiply
    702.40x = 1,052.24 × 409.16
  4. Step 4: Simplify right side
    702.40x = 430,534.52
  5. Step 5: Solve for x
    x = 430,534.52/702.40
  6. Step 6: Final answer
    x = 612.95

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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.