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Finding the Fourth Proportional to 553.50, 829.23 and 309.28

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Solution

The fourth proportional to 553.50, 829.23 and 309.28 is: 463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.50 : 829.23 = 309.28 : x
  2. Step 2: Convert to fraction form
    553.50/829.23 = 309.28/x
  3. Step 3: Cross multiply
    553.50x = 829.23 × 309.28
  4. Step 4: Simplify right side
    553.50x = 256,464.25
  5. Step 5: Solve for x
    x = 256,464.25/553.50
  6. Step 6: Final answer
    x = 463.35

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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.