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Finding the Fourth Proportional to 700.64, 966.89 and 385.91

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Solution

The fourth proportional to 700.64, 966.89 and 385.91 is: 532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.64 : 966.89 = 385.91 : x
  2. Step 2: Convert to fraction form
    700.64/966.89 = 385.91/x
  3. Step 3: Cross multiply
    700.64x = 966.89 × 385.91
  4. Step 4: Simplify right side
    700.64x = 373,130.83
  5. Step 5: Solve for x
    x = 373,130.83/700.64
  6. Step 6: Final answer
    x = 532.56

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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.