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Finding the Fourth Proportional to 566.40, 849.25 and 335.55

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Solution

The fourth proportional to 566.40, 849.25 and 335.55 is: 503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.40 : 849.25 = 335.55 : x
  2. Step 2: Convert to fraction form
    566.40/849.25 = 335.55/x
  3. Step 3: Cross multiply
    566.40x = 849.25 × 335.55
  4. Step 4: Simplify right side
    566.40x = 284,965.84
  5. Step 5: Solve for x
    x = 284,965.84/566.40
  6. Step 6: Final answer
    x = 503.12

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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.