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Finding the Fourth Proportional to 894.48, 1,341.12 and 346.80

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Solution

The fourth proportional to 894.48, 1,341.12 and 346.80 is: 519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.48 : 1,341.12 = 346.80 : x
  2. Step 2: Convert to fraction form
    894.48/1,341.12 = 346.80/x
  3. Step 3: Cross multiply
    894.48x = 1,341.12 × 346.80
  4. Step 4: Simplify right side
    894.48x = 465,100.42
  5. Step 5: Solve for x
    x = 465,100.42/894.48
  6. Step 6: Final answer
    x = 519.97

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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.