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Finding the Fourth Proportional to 702.31, 969.25 and 403.60

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Solution

The fourth proportional to 702.31, 969.25 and 403.60 is: 557.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.31 : 969.25 = 403.60 : x
  2. Step 2: Convert to fraction form
    702.31/969.25 = 403.60/x
  3. Step 3: Cross multiply
    702.31x = 969.25 × 403.60
  4. Step 4: Simplify right side
    702.31x = 391,187.38
  5. Step 5: Solve for x
    x = 391,187.38/702.31
  6. Step 6: Final answer
    x = 557.00

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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.