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Finding the Fourth Proportional to 566.24, 850.34 and 336.57

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Solution

The fourth proportional to 566.24, 850.34 and 336.57 is: 505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.24 : 850.34 = 336.57 : x
  2. Step 2: Convert to fraction form
    566.24/850.34 = 336.57/x
  3. Step 3: Cross multiply
    566.24x = 850.34 × 336.57
  4. Step 4: Simplify right side
    566.24x = 286,199.48
  5. Step 5: Solve for x
    x = 286,199.48/566.24
  6. Step 6: Final answer
    x = 505.44

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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.