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Finding the Fourth Proportional to 399.89, 598.34 and 284.60

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Solution

The fourth proportional to 399.89, 598.34 and 284.60 is: 425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.89 : 598.34 = 284.60 : x
  2. Step 2: Convert to fraction form
    399.89/598.34 = 284.60/x
  3. Step 3: Cross multiply
    399.89x = 598.34 × 284.60
  4. Step 4: Simplify right side
    399.89x = 170,289.77
  5. Step 5: Solve for x
    x = 170,289.77/399.89
  6. Step 6: Final answer
    x = 425.84

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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.