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Finding the Fourth Proportional to 435.83, 653.15 and 240.54

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Solution

The fourth proportional to 435.83, 653.15 and 240.54 is: 360.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.83 : 653.15 = 240.54 : x
  2. Step 2: Convert to fraction form
    435.83/653.15 = 240.54/x
  3. Step 3: Cross multiply
    435.83x = 653.15 × 240.54
  4. Step 4: Simplify right side
    435.83x = 157,109.30
  5. Step 5: Solve for x
    x = 157,109.30/435.83
  6. Step 6: Final answer
    x = 360.48

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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.