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Finding the Fourth Proportional to 599.78, 898.81 and 414.50

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Solution

The fourth proportional to 599.78, 898.81 and 414.50 is: 621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.78 : 898.81 = 414.50 : x
  2. Step 2: Convert to fraction form
    599.78/898.81 = 414.50/x
  3. Step 3: Cross multiply
    599.78x = 898.81 × 414.50
  4. Step 4: Simplify right side
    599.78x = 372,551.21
  5. Step 5: Solve for x
    x = 372,551.21/599.78
  6. Step 6: Final answer
    x = 621.14

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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.