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Finding the Fourth Proportional to 410.10, 615.06 and 263.42

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Solution

The fourth proportional to 410.10, 615.06 and 263.42 is: 395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.10 : 615.06 = 263.42 : x
  2. Step 2: Convert to fraction form
    410.10/615.06 = 263.42/x
  3. Step 3: Cross multiply
    410.10x = 615.06 × 263.42
  4. Step 4: Simplify right side
    410.10x = 162,019.11
  5. Step 5: Solve for x
    x = 162,019.11/410.10
  6. Step 6: Final answer
    x = 395.07

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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.