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Finding the Fourth Proportional to 599.16, 898.46 and 416.64

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Solution

The fourth proportional to 599.16, 898.46 and 416.64 is: 624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.16 : 898.46 = 416.64 : x
  2. Step 2: Convert to fraction form
    599.16/898.46 = 416.64/x
  3. Step 3: Cross multiply
    599.16x = 898.46 × 416.64
  4. Step 4: Simplify right side
    599.16x = 374,334.37
  5. Step 5: Solve for x
    x = 374,334.37/599.16
  6. Step 6: Final answer
    x = 624.77

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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.