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Finding the Fourth Proportional to 618.40, 927.54 and 374.86

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Solution

The fourth proportional to 618.40, 927.54 and 374.86 is: 562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.40 : 927.54 = 374.86 : x
  2. Step 2: Convert to fraction form
    618.40/927.54 = 374.86/x
  3. Step 3: Cross multiply
    618.40x = 927.54 × 374.86
  4. Step 4: Simplify right side
    618.40x = 347,697.64
  5. Step 5: Solve for x
    x = 347,697.64/618.40
  6. Step 6: Final answer
    x = 562.25

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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.