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Finding the Fourth Proportional to 699.31, 964.83 and 404.47

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Solution

The fourth proportional to 699.31, 964.83 and 404.47 is: 558.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.31 : 964.83 = 404.47 : x
  2. Step 2: Convert to fraction form
    699.31/964.83 = 404.47/x
  3. Step 3: Cross multiply
    699.31x = 964.83 × 404.47
  4. Step 4: Simplify right side
    699.31x = 390,244.79
  5. Step 5: Solve for x
    x = 390,244.79/699.31
  6. Step 6: Final answer
    x = 558.04

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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.