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Finding the Fourth Proportional to 460.53, 690.10 and 322.17

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Solution

The fourth proportional to 460.53, 690.10 and 322.17 is: 482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.53 : 690.10 = 322.17 : x
  2. Step 2: Convert to fraction form
    460.53/690.10 = 322.17/x
  3. Step 3: Cross multiply
    460.53x = 690.10 × 322.17
  4. Step 4: Simplify right side
    460.53x = 222,329.52
  5. Step 5: Solve for x
    x = 222,329.52/460.53
  6. Step 6: Final answer
    x = 482.77

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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.