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Finding the Fourth Proportional to 553.10, 830.22 and 322.42

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Solution

The fourth proportional to 553.10, 830.22 and 322.42 is: 483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.10 : 830.22 = 322.42 : x
  2. Step 2: Convert to fraction form
    553.10/830.22 = 322.42/x
  3. Step 3: Cross multiply
    553.10x = 830.22 × 322.42
  4. Step 4: Simplify right side
    553.10x = 267,679.53
  5. Step 5: Solve for x
    x = 267,679.53/553.10
  6. Step 6: Final answer
    x = 483.96

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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.