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Finding the Fourth Proportional to 702.02, 968.74 and 407.38

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Solution

The fourth proportional to 702.02, 968.74 and 407.38 is: 562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.02 : 968.74 = 407.38 : x
  2. Step 2: Convert to fraction form
    702.02/968.74 = 407.38/x
  3. Step 3: Cross multiply
    702.02x = 968.74 × 407.38
  4. Step 4: Simplify right side
    702.02x = 394,645.30
  5. Step 5: Solve for x
    x = 394,645.30/702.02
  6. Step 6: Final answer
    x = 562.16

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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.