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Finding the Fourth Proportional to 618.30, 926.70 and 344.58

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Solution

The fourth proportional to 618.30, 926.70 and 344.58 is: 516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.30 : 926.70 = 344.58 : x
  2. Step 2: Convert to fraction form
    618.30/926.70 = 344.58/x
  3. Step 3: Cross multiply
    618.30x = 926.70 × 344.58
  4. Step 4: Simplify right side
    618.30x = 319,322.29
  5. Step 5: Solve for x
    x = 319,322.29/618.30
  6. Step 6: Final answer
    x = 516.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.