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Finding the Fourth Proportional to 356.87, 534.44 and 322.25

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Solution

The fourth proportional to 356.87, 534.44 and 322.25 is: 482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.87 : 534.44 = 322.25 : x
  2. Step 2: Convert to fraction form
    356.87/534.44 = 322.25/x
  3. Step 3: Cross multiply
    356.87x = 534.44 × 322.25
  4. Step 4: Simplify right side
    356.87x = 172,219.16
  5. Step 5: Solve for x
    x = 172,219.16/356.87
  6. Step 6: Final answer
    x = 482.58

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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.