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Finding the Fourth Proportional to 478.02, 716.68 and 234.34

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Solution

The fourth proportional to 478.02, 716.68 and 234.34 is: 351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.02 : 716.68 = 234.34 : x
  2. Step 2: Convert to fraction form
    478.02/716.68 = 234.34/x
  3. Step 3: Cross multiply
    478.02x = 716.68 × 234.34
  4. Step 4: Simplify right side
    478.02x = 167,946.79
  5. Step 5: Solve for x
    x = 167,946.79/478.02
  6. Step 6: Final answer
    x = 351.34

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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.