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Finding the Fourth Proportional to 404.76, 605.78 and 339.16

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Solution

The fourth proportional to 404.76, 605.78 and 339.16 is: 507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.76 : 605.78 = 339.16 : x
  2. Step 2: Convert to fraction form
    404.76/605.78 = 339.16/x
  3. Step 3: Cross multiply
    404.76x = 605.78 × 339.16
  4. Step 4: Simplify right side
    404.76x = 205,456.34
  5. Step 5: Solve for x
    x = 205,456.34/404.76
  6. Step 6: Final answer
    x = 507.60

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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.