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Finding the Fourth Proportional to 700.09, 966.09 and 385.35

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Solution

The fourth proportional to 700.09, 966.09 and 385.35 is: 531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.09 : 966.09 = 385.35 : x
  2. Step 2: Convert to fraction form
    700.09/966.09 = 385.35/x
  3. Step 3: Cross multiply
    700.09x = 966.09 × 385.35
  4. Step 4: Simplify right side
    700.09x = 372,280.60
  5. Step 5: Solve for x
    x = 372,280.60/700.09
  6. Step 6: Final answer
    x = 531.76

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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.