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Finding the Fourth Proportional to 478.42, 716.66 and 282.94

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Solution

The fourth proportional to 478.42, 716.66 and 282.94 is: 423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.42 : 716.66 = 282.94 : x
  2. Step 2: Convert to fraction form
    478.42/716.66 = 282.94/x
  3. Step 3: Cross multiply
    478.42x = 716.66 × 282.94
  4. Step 4: Simplify right side
    478.42x = 202,771.78
  5. Step 5: Solve for x
    x = 202,771.78/478.42
  6. Step 6: Final answer
    x = 423.84

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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.