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Finding the Fourth Proportional to 404.81, 607.72 and 275.38

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Solution

The fourth proportional to 404.81, 607.72 and 275.38 is: 413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.81 : 607.72 = 275.38 : x
  2. Step 2: Convert to fraction form
    404.81/607.72 = 275.38/x
  3. Step 3: Cross multiply
    404.81x = 607.72 × 275.38
  4. Step 4: Simplify right side
    404.81x = 167,353.93
  5. Step 5: Solve for x
    x = 167,353.93/404.81
  6. Step 6: Final answer
    x = 413.41

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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.