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Finding the Fourth Proportional to 599.60, 898.39 and 416.95

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Solution

The fourth proportional to 599.60, 898.39 and 416.95 is: 624.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.60 : 898.39 = 416.95 : x
  2. Step 2: Convert to fraction form
    599.60/898.39 = 416.95/x
  3. Step 3: Cross multiply
    599.60x = 898.39 × 416.95
  4. Step 4: Simplify right side
    599.60x = 374,581.99
  5. Step 5: Solve for x
    x = 374,581.99/599.60
  6. Step 6: Final answer
    x = 624.72

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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.