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Finding the Fourth Proportional to 356.32, 533.57 and 295.27

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Solution

The fourth proportional to 356.32, 533.57 and 295.27 is: 442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.32 : 533.57 = 295.27 : x
  2. Step 2: Convert to fraction form
    356.32/533.57 = 295.27/x
  3. Step 3: Cross multiply
    356.32x = 533.57 × 295.27
  4. Step 4: Simplify right side
    356.32x = 157,548.81
  5. Step 5: Solve for x
    x = 157,548.81/356.32
  6. Step 6: Final answer
    x = 442.15

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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.