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Finding the Fourth Proportional to 399.96, 598.80 and 269.58

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Solution

The fourth proportional to 399.96, 598.80 and 269.58 is: 403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.96 : 598.80 = 269.58 : x
  2. Step 2: Convert to fraction form
    399.96/598.80 = 269.58/x
  3. Step 3: Cross multiply
    399.96x = 598.80 × 269.58
  4. Step 4: Simplify right side
    399.96x = 161,424.50
  5. Step 5: Solve for x
    x = 161,424.50/399.96
  6. Step 6: Final answer
    x = 403.60

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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.