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Finding the Fourth Proportional to 699.33, 964.73 and 404.42

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Solution

The fourth proportional to 699.33, 964.73 and 404.42 is: 557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.33 : 964.73 = 404.42 : x
  2. Step 2: Convert to fraction form
    699.33/964.73 = 404.42/x
  3. Step 3: Cross multiply
    699.33x = 964.73 × 404.42
  4. Step 4: Simplify right side
    699.33x = 390,156.11
  5. Step 5: Solve for x
    x = 390,156.11/699.33
  6. Step 6: Final answer
    x = 557.90

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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.