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Finding the Fourth Proportional to 566.56, 846.39 and 474.29

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Solution

The fourth proportional to 566.56, 846.39 and 474.29 is: 708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.56 : 846.39 = 474.29 : x
  2. Step 2: Convert to fraction form
    566.56/846.39 = 474.29/x
  3. Step 3: Cross multiply
    566.56x = 846.39 × 474.29
  4. Step 4: Simplify right side
    566.56x = 401,427.71
  5. Step 5: Solve for x
    x = 401,427.71/566.56
  6. Step 6: Final answer
    x = 708.54

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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.