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Finding the Fourth Proportional to 702.41, 969.25 and 403.69

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Solution

The fourth proportional to 702.41, 969.25 and 403.69 is: 557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.41 : 969.25 = 403.69 : x
  2. Step 2: Convert to fraction form
    702.41/969.25 = 403.69/x
  3. Step 3: Cross multiply
    702.41x = 969.25 × 403.69
  4. Step 4: Simplify right side
    702.41x = 391,276.53
  5. Step 5: Solve for x
    x = 391,276.53/702.41
  6. Step 6: Final answer
    x = 557.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.