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Finding the Fourth Proportional to 400.29, 600.53 and 285.46

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Solution

The fourth proportional to 400.29, 600.53 and 285.46 is: 428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.29 : 600.53 = 285.46 : x
  2. Step 2: Convert to fraction form
    400.29/600.53 = 285.46/x
  3. Step 3: Cross multiply
    400.29x = 600.53 × 285.46
  4. Step 4: Simplify right side
    400.29x = 171,427.29
  5. Step 5: Solve for x
    x = 171,427.29/400.29
  6. Step 6: Final answer
    x = 428.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.