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Finding the Fourth Proportional to 398.96, 595.99 and 288.33

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Solution

The fourth proportional to 398.96, 595.99 and 288.33 is: 430.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.96 : 595.99 = 288.33 : x
  2. Step 2: Convert to fraction form
    398.96/595.99 = 288.33/x
  3. Step 3: Cross multiply
    398.96x = 595.99 × 288.33
  4. Step 4: Simplify right side
    398.96x = 171,841.80
  5. Step 5: Solve for x
    x = 171,841.80/398.96
  6. Step 6: Final answer
    x = 430.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.