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Finding the Fourth Proportional to 509.79, 704.15 and 369.69

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Solution

The fourth proportional to 509.79, 704.15 and 369.69 is: 510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.79 : 704.15 = 369.69 : x
  2. Step 2: Convert to fraction form
    509.79/704.15 = 369.69/x
  3. Step 3: Cross multiply
    509.79x = 704.15 × 369.69
  4. Step 4: Simplify right side
    509.79x = 260,315.37
  5. Step 5: Solve for x
    x = 260,315.37/509.79
  6. Step 6: Final answer
    x = 510.63

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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.