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Finding the Fourth Proportional to 553.50, 829.97 and 322.45

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Solution

The fourth proportional to 553.50, 829.97 and 322.45 is: 483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.50 : 829.97 = 322.45 : x
  2. Step 2: Convert to fraction form
    553.50/829.97 = 322.45/x
  3. Step 3: Cross multiply
    553.50x = 829.97 × 322.45
  4. Step 4: Simplify right side
    553.50x = 267,623.83
  5. Step 5: Solve for x
    x = 267,623.83/553.50
  6. Step 6: Final answer
    x = 483.51

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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.