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Finding the Fourth Proportional to 410.22, 618.12 and 395.10

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Solution

The fourth proportional to 410.22, 618.12 and 395.10 is: 595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.22 : 618.12 = 395.10 : x
  2. Step 2: Convert to fraction form
    410.22/618.12 = 395.10/x
  3. Step 3: Cross multiply
    410.22x = 618.12 × 395.10
  4. Step 4: Simplify right side
    410.22x = 244,219.21
  5. Step 5: Solve for x
    x = 244,219.21/410.22
  6. Step 6: Final answer
    x = 595.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.