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Finding the Fourth Proportional to 599, 897.51 and 576.22

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Solution

The fourth proportional to 599, 897.51 and 576.22 is: 863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    599 : 897.51 = 576.22 : x
  2. Step 2: Convert to fraction form
    599/897.51 = 576.22/x
  3. Step 3: Cross multiply
    599x = 897.51 × 576.22
  4. Step 4: Simplify right side
    599x = 517,163.21
  5. Step 5: Solve for x
    x = 517,163.21/599
  6. Step 6: Final answer
    x = 863.38

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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.