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Finding the Fourth Proportional to 599.56, 898.50 and 416.68

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Solution

The fourth proportional to 599.56, 898.50 and 416.68 is: 624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.56 : 898.50 = 416.68 : x
  2. Step 2: Convert to fraction form
    599.56/898.50 = 416.68/x
  3. Step 3: Cross multiply
    599.56x = 898.50 × 416.68
  4. Step 4: Simplify right side
    599.56x = 374,386.98
  5. Step 5: Solve for x
    x = 374,386.98/599.56
  6. Step 6: Final answer
    x = 624.44

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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.