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Finding the Fourth Proportional to 410.15, 565.75 and 262.83

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Solution

The fourth proportional to 410.15, 565.75 and 262.83 is: 362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.15 : 565.75 = 262.83 : x
  2. Step 2: Convert to fraction form
    410.15/565.75 = 262.83/x
  3. Step 3: Cross multiply
    410.15x = 565.75 × 262.83
  4. Step 4: Simplify right side
    410.15x = 148,696.07
  5. Step 5: Solve for x
    x = 148,696.07/410.15
  6. Step 6: Final answer
    x = 362.54

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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.