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Finding the Fourth Proportional to 566.80, 850.33 and 307.06

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Solution

The fourth proportional to 566.80, 850.33 and 307.06 is: 460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.80 : 850.33 = 307.06 : x
  2. Step 2: Convert to fraction form
    566.80/850.33 = 307.06/x
  3. Step 3: Cross multiply
    566.80x = 850.33 × 307.06
  4. Step 4: Simplify right side
    566.80x = 261,100.59
  5. Step 5: Solve for x
    x = 261,100.59/566.80
  6. Step 6: Final answer
    x = 460.66

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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.