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Finding the Fourth Proportional to 399.51, 599.46 and 362.89

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Solution

The fourth proportional to 399.51, 599.46 and 362.89 is: 544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.51 : 599.46 = 362.89 : x
  2. Step 2: Convert to fraction form
    399.51/599.46 = 362.89/x
  3. Step 3: Cross multiply
    399.51x = 599.46 × 362.89
  4. Step 4: Simplify right side
    399.51x = 217,538.04
  5. Step 5: Solve for x
    x = 217,538.04/399.51
  6. Step 6: Final answer
    x = 544.51

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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.