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Finding the Fourth Proportional to 702.02, 968.51 and 407.23

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Solution

The fourth proportional to 702.02, 968.51 and 407.23 is: 561.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.02 : 968.51 = 407.23 : x
  2. Step 2: Convert to fraction form
    702.02/968.51 = 407.23/x
  3. Step 3: Cross multiply
    702.02x = 968.51 × 407.23
  4. Step 4: Simplify right side
    702.02x = 394,406.33
  5. Step 5: Solve for x
    x = 394,406.33/702.02
  6. Step 6: Final answer
    x = 561.82

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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.