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Finding the Fourth Proportional to 320.40, 477.05 and 318.60

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Solution

The fourth proportional to 320.40, 477.05 and 318.60 is: 474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.40 : 477.05 = 318.60 : x
  2. Step 2: Convert to fraction form
    320.40/477.05 = 318.60/x
  3. Step 3: Cross multiply
    320.40x = 477.05 × 318.60
  4. Step 4: Simplify right side
    320.40x = 151,986.54
  5. Step 5: Solve for x
    x = 151,986.54/320.40
  6. Step 6: Final answer
    x = 474.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.