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Finding the Fourth Proportional to 699.08, 964.82 and 423.08

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Solution

The fourth proportional to 699.08, 964.82 and 423.08 is: 583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.08 : 964.82 = 423.08 : x
  2. Step 2: Convert to fraction form
    699.08/964.82 = 423.08/x
  3. Step 3: Cross multiply
    699.08x = 964.82 × 423.08
  4. Step 4: Simplify right side
    699.08x = 408,196.05
  5. Step 5: Solve for x
    x = 408,196.05/699.08
  6. Step 6: Final answer
    x = 583.90

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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.