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Finding the Fourth Proportional to 700.64, 966.89 and 385.90

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Solution

The fourth proportional to 700.64, 966.89 and 385.90 is: 532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.64 : 966.89 = 385.90 : x
  2. Step 2: Convert to fraction form
    700.64/966.89 = 385.90/x
  3. Step 3: Cross multiply
    700.64x = 966.89 × 385.90
  4. Step 4: Simplify right side
    700.64x = 373,122.85
  5. Step 5: Solve for x
    x = 373,122.85/700.64
  6. Step 6: Final answer
    x = 532.55

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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.