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Finding the Fourth Proportional to 699.38, 965.13 and 384.65

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Solution

The fourth proportional to 699.38, 965.13 and 384.65 is: 530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.38 : 965.13 = 384.65 : x
  2. Step 2: Convert to fraction form
    699.38/965.13 = 384.65/x
  3. Step 3: Cross multiply
    699.38x = 965.13 × 384.65
  4. Step 4: Simplify right side
    699.38x = 371,231.47
  5. Step 5: Solve for x
    x = 371,231.47/699.38
  6. Step 6: Final answer
    x = 530.80

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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.