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Finding the Fourth Proportional to 399.53, 551.46 and 259.65

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Solution

The fourth proportional to 399.53, 551.46 and 259.65 is: 358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.53 : 551.46 = 259.65 : x
  2. Step 2: Convert to fraction form
    399.53/551.46 = 259.65/x
  3. Step 3: Cross multiply
    399.53x = 551.46 × 259.65
  4. Step 4: Simplify right side
    399.53x = 143,186.59
  5. Step 5: Solve for x
    x = 143,186.59/399.53
  6. Step 6: Final answer
    x = 358.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.