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Finding the Fourth Proportional to 649.70, 896.57 and 384.14

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Solution

The fourth proportional to 649.70, 896.57 and 384.14 is: 530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.70 : 896.57 = 384.14 : x
  2. Step 2: Convert to fraction form
    649.70/896.57 = 384.14/x
  3. Step 3: Cross multiply
    649.70x = 896.57 × 384.14
  4. Step 4: Simplify right side
    649.70x = 344,405.12
  5. Step 5: Solve for x
    x = 344,405.12/649.70
  6. Step 6: Final answer
    x = 530.10

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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.