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Finding the Fourth Proportional to 356.32, 533.46 and 322.15

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Solution

The fourth proportional to 356.32, 533.46 and 322.15 is: 482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.32 : 533.46 = 322.15 : x
  2. Step 2: Convert to fraction form
    356.32/533.46 = 322.15/x
  3. Step 3: Cross multiply
    356.32x = 533.46 × 322.15
  4. Step 4: Simplify right side
    356.32x = 171,854.14
  5. Step 5: Solve for x
    x = 171,854.14/356.32
  6. Step 6: Final answer
    x = 482.30

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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.