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Finding the Fourth Proportional to 435.26, 648.70 and 434.59

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Solution

The fourth proportional to 435.26, 648.70 and 434.59 is: 647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.26 : 648.70 = 434.59 : x
  2. Step 2: Convert to fraction form
    435.26/648.70 = 434.59/x
  3. Step 3: Cross multiply
    435.26x = 648.70 × 434.59
  4. Step 4: Simplify right side
    435.26x = 281,918.53
  5. Step 5: Solve for x
    x = 281,918.53/435.26
  6. Step 6: Final answer
    x = 647.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.