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Finding the Fourth Proportional to 700.31, 966.60 and 434.80

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Solution

The fourth proportional to 700.31, 966.60 and 434.80 is: 600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.31 : 966.60 = 434.80 : x
  2. Step 2: Convert to fraction form
    700.31/966.60 = 434.80/x
  3. Step 3: Cross multiply
    700.31x = 966.60 × 434.80
  4. Step 4: Simplify right side
    700.31x = 420,278.89
  5. Step 5: Solve for x
    x = 420,278.89/700.31
  6. Step 6: Final answer
    x = 600.13

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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.