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Finding the Fourth Proportional to 412.63, 616.53 and 398.28

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Solution

The fourth proportional to 412.63, 616.53 and 398.28 is: 595.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.63 : 616.53 = 398.28 : x
  2. Step 2: Convert to fraction form
    412.63/616.53 = 398.28/x
  3. Step 3: Cross multiply
    412.63x = 616.53 × 398.28
  4. Step 4: Simplify right side
    412.63x = 245,551.57
  5. Step 5: Solve for x
    x = 245,551.57/412.63
  6. Step 6: Final answer
    x = 595.09

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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.