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Finding the Fourth Proportional to 502.99, 694.41 and 370.10

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Solution

The fourth proportional to 502.99, 694.41 and 370.10 is: 510.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.99 : 694.41 = 370.10 : x
  2. Step 2: Convert to fraction form
    502.99/694.41 = 370.10/x
  3. Step 3: Cross multiply
    502.99x = 694.41 × 370.10
  4. Step 4: Simplify right side
    502.99x = 257,001.49
  5. Step 5: Solve for x
    x = 257,001.49/502.99
  6. Step 6: Final answer
    x = 510.94

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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.