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Finding the Fourth Proportional to 399.65, 602.46 and 365.81

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Solution

The fourth proportional to 399.65, 602.46 and 365.81 is: 551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.65 : 602.46 = 365.81 : x
  2. Step 2: Convert to fraction form
    399.65/602.46 = 365.81/x
  3. Step 3: Cross multiply
    399.65x = 602.46 × 365.81
  4. Step 4: Simplify right side
    399.65x = 220,382.88
  5. Step 5: Solve for x
    x = 220,382.88/399.65
  6. Step 6: Final answer
    x = 551.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.