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Finding the Fourth Proportional to 699.27, 965.01 and 384.56

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Solution

The fourth proportional to 699.27, 965.01 and 384.56 is: 530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.27 : 965.01 = 384.56 : x
  2. Step 2: Convert to fraction form
    699.27/965.01 = 384.56/x
  3. Step 3: Cross multiply
    699.27x = 965.01 × 384.56
  4. Step 4: Simplify right side
    699.27x = 371,099.42
  5. Step 5: Solve for x
    x = 371,099.42/699.27
  6. Step 6: Final answer
    x = 530.70

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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.