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Finding the Fourth Proportional to 400.29, 601.35 and 285.03

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Solution

The fourth proportional to 400.29, 601.35 and 285.03 is: 428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.29 : 601.35 = 285.03 : x
  2. Step 2: Convert to fraction form
    400.29/601.35 = 285.03/x
  3. Step 3: Cross multiply
    400.29x = 601.35 × 285.03
  4. Step 4: Simplify right side
    400.29x = 171,402.79
  5. Step 5: Solve for x
    x = 171,402.79/400.29
  6. Step 6: Final answer
    x = 428.20

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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.