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Finding the Fourth Proportional to 599.33, 898.58 and 416.27

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Solution

The fourth proportional to 599.33, 898.58 and 416.27 is: 624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.33 : 898.58 = 416.27 : x
  2. Step 2: Convert to fraction form
    599.33/898.58 = 416.27/x
  3. Step 3: Cross multiply
    599.33x = 898.58 × 416.27
  4. Step 4: Simplify right side
    599.33x = 374,045.32
  5. Step 5: Solve for x
    x = 374,045.32/599.33
  6. Step 6: Final answer
    x = 624.11

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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.