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Finding the Fourth Proportional to 649.96, 897.08 and 429.03

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Solution

The fourth proportional to 649.96, 897.08 and 429.03 is: 592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.96 : 897.08 = 429.03 : x
  2. Step 2: Convert to fraction form
    649.96/897.08 = 429.03/x
  3. Step 3: Cross multiply
    649.96x = 897.08 × 429.03
  4. Step 4: Simplify right side
    649.96x = 384,872.09
  5. Step 5: Solve for x
    x = 384,872.09/649.96
  6. Step 6: Final answer
    x = 592.15

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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.