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Finding the Fourth Proportional to 566.82, 846.75 and 474.54

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Solution

The fourth proportional to 566.82, 846.75 and 474.54 is: 708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.82 : 846.75 = 474.54 : x
  2. Step 2: Convert to fraction form
    566.82/846.75 = 474.54/x
  3. Step 3: Cross multiply
    566.82x = 846.75 × 474.54
  4. Step 4: Simplify right side
    566.82x = 401,816.75
  5. Step 5: Solve for x
    x = 401,816.75/566.82
  6. Step 6: Final answer
    x = 708.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.