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Finding the Fourth Proportional to 697.04, 961.61 and 434.60

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Solution

The fourth proportional to 697.04, 961.61 and 434.60 is: 599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.04 : 961.61 = 434.60 : x
  2. Step 2: Convert to fraction form
    697.04/961.61 = 434.60/x
  3. Step 3: Cross multiply
    697.04x = 961.61 × 434.60
  4. Step 4: Simplify right side
    697.04x = 417,912.33
  5. Step 5: Solve for x
    x = 417,912.33/697.04
  6. Step 6: Final answer
    x = 599.55

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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.