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Finding the Fourth Proportional to 599.57, 898.95 and 306.35

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Solution

The fourth proportional to 599.57, 898.95 and 306.35 is: 459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.57 : 898.95 = 306.35 : x
  2. Step 2: Convert to fraction form
    599.57/898.95 = 306.35/x
  3. Step 3: Cross multiply
    599.57x = 898.95 × 306.35
  4. Step 4: Simplify right side
    599.57x = 275,393.33
  5. Step 5: Solve for x
    x = 275,393.33/599.57
  6. Step 6: Final answer
    x = 459.32

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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.