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Finding the Fourth Proportional to 618.60, 853.63 and 353.01

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Solution

The fourth proportional to 618.60, 853.63 and 353.01 is: 487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.60 : 853.63 = 353.01 : x
  2. Step 2: Convert to fraction form
    618.60/853.63 = 353.01/x
  3. Step 3: Cross multiply
    618.60x = 853.63 × 353.01
  4. Step 4: Simplify right side
    618.60x = 301,339.93
  5. Step 5: Solve for x
    x = 301,339.93/618.60
  6. Step 6: Final answer
    x = 487.13

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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.