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Finding the Fourth Proportional to 404.47, 605.33 and 339.54

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Solution

The fourth proportional to 404.47, 605.33 and 339.54 is: 508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.47 : 605.33 = 339.54 : x
  2. Step 2: Convert to fraction form
    404.47/605.33 = 339.54/x
  3. Step 3: Cross multiply
    404.47x = 605.33 × 339.54
  4. Step 4: Simplify right side
    404.47x = 205,533.75
  5. Step 5: Solve for x
    x = 205,533.75/404.47
  6. Step 6: Final answer
    x = 508.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.