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Finding the Fourth Proportional to 564.89, 846.68 and 473.31

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Solution

The fourth proportional to 564.89, 846.68 and 473.31 is: 709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.89 : 846.68 = 473.31 : x
  2. Step 2: Convert to fraction form
    564.89/846.68 = 473.31/x
  3. Step 3: Cross multiply
    564.89x = 846.68 × 473.31
  4. Step 4: Simplify right side
    564.89x = 400,739.74
  5. Step 5: Solve for x
    x = 400,739.74/564.89
  6. Step 6: Final answer
    x = 709.42

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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.