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Finding the Fourth Proportional to 348.16, 524.72 and 327.28

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Solution

The fourth proportional to 348.16, 524.72 and 327.28 is: 493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.16 : 524.72 = 327.28 : x
  2. Step 2: Convert to fraction form
    348.16/524.72 = 327.28/x
  3. Step 3: Cross multiply
    348.16x = 524.72 × 327.28
  4. Step 4: Simplify right side
    348.16x = 171,730.36
  5. Step 5: Solve for x
    x = 171,730.36/348.16
  6. Step 6: Final answer
    x = 493.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.