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Finding the Fourth Proportional to 564.89, 846.90 and 391.06

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Solution

The fourth proportional to 564.89, 846.90 and 391.06 is: 586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.89 : 846.90 = 391.06 : x
  2. Step 2: Convert to fraction form
    564.89/846.90 = 391.06/x
  3. Step 3: Cross multiply
    564.89x = 846.90 × 391.06
  4. Step 4: Simplify right side
    564.89x = 331,185.01
  5. Step 5: Solve for x
    x = 331,185.01/564.89
  6. Step 6: Final answer
    x = 586.28

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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.