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Finding the Fourth Proportional to 599.71, 897.89 and 306.58

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Solution

The fourth proportional to 599.71, 897.89 and 306.58 is: 459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.71 : 897.89 = 306.58 : x
  2. Step 2: Convert to fraction form
    599.71/897.89 = 306.58/x
  3. Step 3: Cross multiply
    599.71x = 897.89 × 306.58
  4. Step 4: Simplify right side
    599.71x = 275,269.09
  5. Step 5: Solve for x
    x = 275,269.09/599.71
  6. Step 6: Final answer
    x = 459.01

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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.