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Finding the Fourth Proportional to 511.20, 705.51 and 393.30

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Solution

The fourth proportional to 511.20, 705.51 and 393.30 is: 542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.20 : 705.51 = 393.30 : x
  2. Step 2: Convert to fraction form
    511.20/705.51 = 393.30/x
  3. Step 3: Cross multiply
    511.20x = 705.51 × 393.30
  4. Step 4: Simplify right side
    511.20x = 277,477.08
  5. Step 5: Solve for x
    x = 277,477.08/511.20
  6. Step 6: Final answer
    x = 542.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.