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Finding the Fourth Proportional to 341.64, 512.46 and 318.24

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Solution

The fourth proportional to 341.64, 512.46 and 318.24 is: 477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.64 : 512.46 = 318.24 : x
  2. Step 2: Convert to fraction form
    341.64/512.46 = 318.24/x
  3. Step 3: Cross multiply
    341.64x = 512.46 × 318.24
  4. Step 4: Simplify right side
    341.64x = 163,085.27
  5. Step 5: Solve for x
    x = 163,085.27/341.64
  6. Step 6: Final answer
    x = 477.36

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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.