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Finding the Fourth Proportional to 356.21, 533.28 and 322.05

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Solution

The fourth proportional to 356.21, 533.28 and 322.05 is: 482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.21 : 533.28 = 322.05 : x
  2. Step 2: Convert to fraction form
    356.21/533.28 = 322.05/x
  3. Step 3: Cross multiply
    356.21x = 533.28 × 322.05
  4. Step 4: Simplify right side
    356.21x = 171,742.82
  5. Step 5: Solve for x
    x = 171,742.82/356.21
  6. Step 6: Final answer
    x = 482.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.