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Finding the Fourth Proportional to 509.97, 703.92 and 370.11

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Solution

The fourth proportional to 509.97, 703.92 and 370.11 is: 510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.97 : 703.92 = 370.11 : x
  2. Step 2: Convert to fraction form
    509.97/703.92 = 370.11/x
  3. Step 3: Cross multiply
    509.97x = 703.92 × 370.11
  4. Step 4: Simplify right side
    509.97x = 260,527.83
  5. Step 5: Solve for x
    x = 260,527.83/509.97
  6. Step 6: Final answer
    x = 510.87

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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.