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Finding the Fourth Proportional to 473.06, 652.83 and 266.06

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Solution

The fourth proportional to 473.06, 652.83 and 266.06 is: 367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.06 : 652.83 = 266.06 : x
  2. Step 2: Convert to fraction form
    473.06/652.83 = 266.06/x
  3. Step 3: Cross multiply
    473.06x = 652.83 × 266.06
  4. Step 4: Simplify right side
    473.06x = 173,692.58
  5. Step 5: Solve for x
    x = 173,692.58/473.06
  6. Step 6: Final answer
    x = 367.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.