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Finding the Fourth Proportional to 618.74, 853.89 and 370.05

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Solution

The fourth proportional to 618.74, 853.89 and 370.05 is: 510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.74 : 853.89 = 370.05 : x
  2. Step 2: Convert to fraction form
    618.74/853.89 = 370.05/x
  3. Step 3: Cross multiply
    618.74x = 853.89 × 370.05
  4. Step 4: Simplify right side
    618.74x = 315,981.99
  5. Step 5: Solve for x
    x = 315,981.99/618.74
  6. Step 6: Final answer
    x = 510.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.