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Finding the Fourth Proportional to 702.57, 969.24 and 440.67

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Solution

The fourth proportional to 702.57, 969.24 and 440.67 is: 607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.57 : 969.24 = 440.67 : x
  2. Step 2: Convert to fraction form
    702.57/969.24 = 440.67/x
  3. Step 3: Cross multiply
    702.57x = 969.24 × 440.67
  4. Step 4: Simplify right side
    702.57x = 427,114.99
  5. Step 5: Solve for x
    x = 427,114.99/702.57
  6. Step 6: Final answer
    x = 607.93

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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.