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Finding the Fourth Proportional to 702.85, 969.72 and 408.06

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Solution

The fourth proportional to 702.85, 969.72 and 408.06 is: 563.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.85 : 969.72 = 408.06 : x
  2. Step 2: Convert to fraction form
    702.85/969.72 = 408.06/x
  3. Step 3: Cross multiply
    702.85x = 969.72 × 408.06
  4. Step 4: Simplify right side
    702.85x = 395,703.94
  5. Step 5: Solve for x
    x = 395,703.94/702.85
  6. Step 6: Final answer
    x = 563.00

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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.