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Finding the Fourth Proportional to 564.74, 846.10 and 345.26

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Solution

The fourth proportional to 564.74, 846.10 and 345.26 is: 517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.74 : 846.10 = 345.26 : x
  2. Step 2: Convert to fraction form
    564.74/846.10 = 345.26/x
  3. Step 3: Cross multiply
    564.74x = 846.10 × 345.26
  4. Step 4: Simplify right side
    564.74x = 292,122.27
  5. Step 5: Solve for x
    x = 292,122.27/564.74
  6. Step 6: Final answer
    x = 517.27

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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.