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Finding the Fourth Proportional to 699.96, 966.24 and 491.16

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Solution

The fourth proportional to 699.96, 966.24 and 491.16 is: 678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.96 : 966.24 = 491.16 : x
  2. Step 2: Convert to fraction form
    699.96/966.24 = 491.16/x
  3. Step 3: Cross multiply
    699.96x = 966.24 × 491.16
  4. Step 4: Simplify right side
    699.96x = 474,578.44
  5. Step 5: Solve for x
    x = 474,578.44/699.96
  6. Step 6: Final answer
    x = 678.01

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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.