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Finding the Fourth Proportional to 468.97, 702.84 and 407.81

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Solution

The fourth proportional to 468.97, 702.84 and 407.81 is: 611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.97 : 702.84 = 407.81 : x
  2. Step 2: Convert to fraction form
    468.97/702.84 = 407.81/x
  3. Step 3: Cross multiply
    468.97x = 702.84 × 407.81
  4. Step 4: Simplify right side
    468.97x = 286,625.18
  5. Step 5: Solve for x
    x = 286,625.18/468.97
  6. Step 6: Final answer
    x = 611.18

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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.