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Finding the Fourth Proportional to 599.74, 899.25 and 234.10

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Solution

The fourth proportional to 599.74, 899.25 and 234.10 is: 351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.74 : 899.25 = 234.10 : x
  2. Step 2: Convert to fraction form
    599.74/899.25 = 234.10/x
  3. Step 3: Cross multiply
    599.74x = 899.25 × 234.10
  4. Step 4: Simplify right side
    599.74x = 210,512.18
  5. Step 5: Solve for x
    x = 210,512.18/599.74
  6. Step 6: Final answer
    x = 351.01

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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.