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Finding the Fourth Proportional to 702.07, 968.66 and 407.23

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Solution

The fourth proportional to 702.07, 968.66 and 407.23 is: 561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.07 : 968.66 = 407.23 : x
  2. Step 2: Convert to fraction form
    702.07/968.66 = 407.23/x
  3. Step 3: Cross multiply
    702.07x = 968.66 × 407.23
  4. Step 4: Simplify right side
    702.07x = 394,464.48
  5. Step 5: Solve for x
    x = 394,464.48/702.07
  6. Step 6: Final answer
    x = 561.86

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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.