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Finding the Fourth Proportional to 471.95, 651.07 and 282.80

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Solution

The fourth proportional to 471.95, 651.07 and 282.80 is: 390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.95 : 651.07 = 282.80 : x
  2. Step 2: Convert to fraction form
    471.95/651.07 = 282.80/x
  3. Step 3: Cross multiply
    471.95x = 651.07 × 282.80
  4. Step 4: Simplify right side
    471.95x = 184,121.18
  5. Step 5: Solve for x
    x = 184,121.18/471.95
  6. Step 6: Final answer
    x = 390.13

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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.