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Finding the Fourth Proportional to 356.45, 533.58 and 264.92

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Solution

The fourth proportional to 356.45, 533.58 and 264.92 is: 396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.45 : 533.58 = 264.92 : x
  2. Step 2: Convert to fraction form
    356.45/533.58 = 264.92/x
  3. Step 3: Cross multiply
    356.45x = 533.58 × 264.92
  4. Step 4: Simplify right side
    356.45x = 141,352.35
  5. Step 5: Solve for x
    x = 141,352.35/356.45
  6. Step 6: Final answer
    x = 396.56

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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.