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Finding the Fourth Proportional to 435.94, 652.35 and 378.83

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Solution

The fourth proportional to 435.94, 652.35 and 378.83 is: 566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.94 : 652.35 = 378.83 : x
  2. Step 2: Convert to fraction form
    435.94/652.35 = 378.83/x
  3. Step 3: Cross multiply
    435.94x = 652.35 × 378.83
  4. Step 4: Simplify right side
    435.94x = 247,129.75
  5. Step 5: Solve for x
    x = 247,129.75/435.94
  6. Step 6: Final answer
    x = 566.89

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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.