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Finding the Fourth Proportional to 605.42, 908.50 and 400.58

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Solution

The fourth proportional to 605.42, 908.50 and 400.58 is: 601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.42 : 908.50 = 400.58 : x
  2. Step 2: Convert to fraction form
    605.42/908.50 = 400.58/x
  3. Step 3: Cross multiply
    605.42x = 908.50 × 400.58
  4. Step 4: Simplify right side
    605.42x = 363,926.93
  5. Step 5: Solve for x
    x = 363,926.93/605.42
  6. Step 6: Final answer
    x = 601.11

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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.