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Finding the Fourth Proportional to 599.13, 897.72 and 576.35

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Solution

The fourth proportional to 599.13, 897.72 and 576.35 is: 863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.13 : 897.72 = 576.35 : x
  2. Step 2: Convert to fraction form
    599.13/897.72 = 576.35/x
  3. Step 3: Cross multiply
    599.13x = 897.72 × 576.35
  4. Step 4: Simplify right side
    599.13x = 517,396.43
  5. Step 5: Solve for x
    x = 517,396.43/599.13
  6. Step 6: Final answer
    x = 863.58

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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.