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Finding the Fourth Proportional to 404.48, 605.70 and 314.26

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Solution

The fourth proportional to 404.48, 605.70 and 314.26 is: 470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.48 : 605.70 = 314.26 : x
  2. Step 2: Convert to fraction form
    404.48/605.70 = 314.26/x
  3. Step 3: Cross multiply
    404.48x = 605.70 × 314.26
  4. Step 4: Simplify right side
    404.48x = 190,347.28
  5. Step 5: Solve for x
    x = 190,347.28/404.48
  6. Step 6: Final answer
    x = 470.60

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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.