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Finding the Fourth Proportional to 546.06, 753.94 and 511.20

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Solution

The fourth proportional to 546.06, 753.94 and 511.20 is: 705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.06 : 753.94 = 511.20 : x
  2. Step 2: Convert to fraction form
    546.06/753.94 = 511.20/x
  3. Step 3: Cross multiply
    546.06x = 753.94 × 511.20
  4. Step 4: Simplify right side
    546.06x = 385,413.46
  5. Step 5: Solve for x
    x = 385,413.46/546.06
  6. Step 6: Final answer
    x = 705.81

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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.