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Finding the Fourth Proportional to 399.23, 598.61 and 376.30

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Solution

The fourth proportional to 399.23, 598.61 and 376.30 is: 564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.23 : 598.61 = 376.30 : x
  2. Step 2: Convert to fraction form
    399.23/598.61 = 376.30/x
  3. Step 3: Cross multiply
    399.23x = 598.61 × 376.30
  4. Step 4: Simplify right side
    399.23x = 225,253.95
  5. Step 5: Solve for x
    x = 225,253.95/399.23
  6. Step 6: Final answer
    x = 564.22

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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.