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Finding the Fourth Proportional to 356.58, 533.03 and 264.42

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Solution

The fourth proportional to 356.58, 533.03 and 264.42 is: 395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.58 : 533.03 = 264.42 : x
  2. Step 2: Convert to fraction form
    356.58/533.03 = 264.42/x
  3. Step 3: Cross multiply
    356.58x = 533.03 × 264.42
  4. Step 4: Simplify right side
    356.58x = 140,942.47
  5. Step 5: Solve for x
    x = 140,942.47/356.58
  6. Step 6: Final answer
    x = 395.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.