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Finding the Fourth Proportional to 404.93, 607.17 and 173.78

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Solution

The fourth proportional to 404.93, 607.17 and 173.78 is: 260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.93 : 607.17 = 173.78 : x
  2. Step 2: Convert to fraction form
    404.93/607.17 = 173.78/x
  3. Step 3: Cross multiply
    404.93x = 607.17 × 173.78
  4. Step 4: Simplify right side
    404.93x = 105,514.00
  5. Step 5: Solve for x
    x = 105,514.00/404.93
  6. Step 6: Final answer
    x = 260.57

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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.