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Finding the Fourth Proportional to 435.24, 651.78 and 381.24

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Solution

The fourth proportional to 435.24, 651.78 and 381.24 is: 570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.24 : 651.78 = 381.24 : x
  2. Step 2: Convert to fraction form
    435.24/651.78 = 381.24/x
  3. Step 3: Cross multiply
    435.24x = 651.78 × 381.24
  4. Step 4: Simplify right side
    435.24x = 248,484.61
  5. Step 5: Solve for x
    x = 248,484.61/435.24
  6. Step 6: Final answer
    x = 570.91

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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.