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Finding the Fourth Proportional to 599.74, 899.84 and 270.47

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Solution

The fourth proportional to 599.74, 899.84 and 270.47 is: 405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.74 : 899.84 = 270.47 : x
  2. Step 2: Convert to fraction form
    599.74/899.84 = 270.47/x
  3. Step 3: Cross multiply
    599.74x = 899.84 × 270.47
  4. Step 4: Simplify right side
    599.74x = 243,382.65
  5. Step 5: Solve for x
    x = 243,382.65/599.74
  6. Step 6: Final answer
    x = 405.82

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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.