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Finding the Fourth Proportional to 700.45, 966.63 and 385.72

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Solution

The fourth proportional to 700.45, 966.63 and 385.72 is: 532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.45 : 966.63 = 385.72 : x
  2. Step 2: Convert to fraction form
    700.45/966.63 = 385.72/x
  3. Step 3: Cross multiply
    700.45x = 966.63 × 385.72
  4. Step 4: Simplify right side
    700.45x = 372,848.52
  5. Step 5: Solve for x
    x = 372,848.52/700.45
  6. Step 6: Final answer
    x = 532.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.