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Finding the Fourth Proportional to 618.83, 853.84 and 370.23

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Solution

The fourth proportional to 618.83, 853.84 and 370.23 is: 510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.83 : 853.84 = 370.23 : x
  2. Step 2: Convert to fraction form
    618.83/853.84 = 370.23/x
  3. Step 3: Cross multiply
    618.83x = 853.84 × 370.23
  4. Step 4: Simplify right side
    618.83x = 316,117.18
  5. Step 5: Solve for x
    x = 316,117.18/618.83
  6. Step 6: Final answer
    x = 510.83

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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.