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Finding the Fourth Proportional to 618.14, 853.02 and 342.14

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Solution

The fourth proportional to 618.14, 853.02 and 342.14 is: 472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.14 : 853.02 = 342.14 : x
  2. Step 2: Convert to fraction form
    618.14/853.02 = 342.14/x
  3. Step 3: Cross multiply
    618.14x = 853.02 × 342.14
  4. Step 4: Simplify right side
    618.14x = 291,852.26
  5. Step 5: Solve for x
    x = 291,852.26/618.14
  6. Step 6: Final answer
    x = 472.15

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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.