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Finding the Fourth Proportional to 564.96, 846.49 and 456.56

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Solution

The fourth proportional to 564.96, 846.49 and 456.56 is: 684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.96 : 846.49 = 456.56 : x
  2. Step 2: Convert to fraction form
    564.96/846.49 = 456.56/x
  3. Step 3: Cross multiply
    564.96x = 846.49 × 456.56
  4. Step 4: Simplify right side
    564.96x = 386,473.47
  5. Step 5: Solve for x
    x = 386,473.47/564.96
  6. Step 6: Final answer
    x = 684.07

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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.