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Finding the Fourth Proportional to 356.48, 533.52 and 262.16

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Solution

The fourth proportional to 356.48, 533.52 and 262.16 is: 392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.48 : 533.52 = 262.16 : x
  2. Step 2: Convert to fraction form
    356.48/533.52 = 262.16/x
  3. Step 3: Cross multiply
    356.48x = 533.52 × 262.16
  4. Step 4: Simplify right side
    356.48x = 139,867.60
  5. Step 5: Solve for x
    x = 139,867.60/356.48
  6. Step 6: Final answer
    x = 392.36

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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.