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Finding the Fourth Proportional to 374.95, 563.32 and 354.23

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Solution

The fourth proportional to 374.95, 563.32 and 354.23 is: 532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.95 : 563.32 = 354.23 : x
  2. Step 2: Convert to fraction form
    374.95/563.32 = 354.23/x
  3. Step 3: Cross multiply
    374.95x = 563.32 × 354.23
  4. Step 4: Simplify right side
    374.95x = 199,542.03
  5. Step 5: Solve for x
    x = 199,542.03/374.95
  6. Step 6: Final answer
    x = 532.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.