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Finding the Fourth Proportional to 478.92, 719.77 and 317.63

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Solution

The fourth proportional to 478.92, 719.77 and 317.63 is: 477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.92 : 719.77 = 317.63 : x
  2. Step 2: Convert to fraction form
    478.92/719.77 = 317.63/x
  3. Step 3: Cross multiply
    478.92x = 719.77 × 317.63
  4. Step 4: Simplify right side
    478.92x = 228,621.55
  5. Step 5: Solve for x
    x = 228,621.55/478.92
  6. Step 6: Final answer
    x = 477.37

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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.