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Finding the Fourth Proportional to 530.98, 733.44 and 408.15

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Solution

The fourth proportional to 530.98, 733.44 and 408.15 is: 563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.98 : 733.44 = 408.15 : x
  2. Step 2: Convert to fraction form
    530.98/733.44 = 408.15/x
  3. Step 3: Cross multiply
    530.98x = 733.44 × 408.15
  4. Step 4: Simplify right side
    530.98x = 299,353.54
  5. Step 5: Solve for x
    x = 299,353.54/530.98
  6. Step 6: Final answer
    x = 563.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.