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Finding the Fourth Proportional to 618, 852.84 and 342

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Solution

The fourth proportional to 618, 852.84 and 342 is: 471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    618 : 852.84 = 342 : x
  2. Step 2: Convert to fraction form
    618/852.84 = 342/x
  3. Step 3: Cross multiply
    618x = 852.84 × 342
  4. Step 4: Simplify right side
    618x = 291,671.28
  5. Step 5: Solve for x
    x = 291,671.28/618
  6. Step 6: Final answer
    x = 471.96

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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.