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Finding the Fourth Proportional to 599.07, 898.10 and 404.07

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Solution

The fourth proportional to 599.07, 898.10 and 404.07 is: 605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.07 : 898.10 = 404.07 : x
  2. Step 2: Convert to fraction form
    599.07/898.10 = 404.07/x
  3. Step 3: Cross multiply
    599.07x = 898.10 × 404.07
  4. Step 4: Simplify right side
    599.07x = 362,895.27
  5. Step 5: Solve for x
    x = 362,895.27/599.07
  6. Step 6: Final answer
    x = 605.76

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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.