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Finding the Fourth Proportional to 540.13, 810.30 and 211.07

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Solution

The fourth proportional to 540.13, 810.30 and 211.07 is: 316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.13 : 810.30 = 211.07 : x
  2. Step 2: Convert to fraction form
    540.13/810.30 = 211.07/x
  3. Step 3: Cross multiply
    540.13x = 810.30 × 211.07
  4. Step 4: Simplify right side
    540.13x = 171,030.02
  5. Step 5: Solve for x
    x = 171,030.02/540.13
  6. Step 6: Final answer
    x = 316.65

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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.