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Finding the Fourth Proportional to 702.24, 968.64 and 426.24

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Solution

The fourth proportional to 702.24, 968.64 and 426.24 is: 587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.24 : 968.64 = 426.24 : x
  2. Step 2: Convert to fraction form
    702.24/968.64 = 426.24/x
  3. Step 3: Cross multiply
    702.24x = 968.64 × 426.24
  4. Step 4: Simplify right side
    702.24x = 412,873.11
  5. Step 5: Solve for x
    x = 412,873.11/702.24
  6. Step 6: Final answer
    x = 587.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.