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Finding the Fourth Proportional to 404.53, 607.31 and 275.11

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Solution

The fourth proportional to 404.53, 607.31 and 275.11 is: 413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.53 : 607.31 = 275.11 : x
  2. Step 2: Convert to fraction form
    404.53/607.31 = 275.11/x
  3. Step 3: Cross multiply
    404.53x = 607.31 × 275.11
  4. Step 4: Simplify right side
    404.53x = 167,077.05
  5. Step 5: Solve for x
    x = 167,077.05/404.53
  6. Step 6: Final answer
    x = 413.02

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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.