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Finding the Fourth Proportional to 649.92, 897.11 and 384.35

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Solution

The fourth proportional to 649.92, 897.11 and 384.35 is: 530.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.92 : 897.11 = 384.35 : x
  2. Step 2: Convert to fraction form
    649.92/897.11 = 384.35/x
  3. Step 3: Cross multiply
    649.92x = 897.11 × 384.35
  4. Step 4: Simplify right side
    649.92x = 344,804.23
  5. Step 5: Solve for x
    x = 344,804.23/649.92
  6. Step 6: Final answer
    x = 530.53

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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.