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Finding the Fourth Proportional to 564.13, 846.30 and 461.82

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Solution

The fourth proportional to 564.13, 846.30 and 461.82 is: 692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.13 : 846.30 = 461.82 : x
  2. Step 2: Convert to fraction form
    564.13/846.30 = 461.82/x
  3. Step 3: Cross multiply
    564.13x = 846.30 × 461.82
  4. Step 4: Simplify right side
    564.13x = 390,838.27
  5. Step 5: Solve for x
    x = 390,838.27/564.13
  6. Step 6: Final answer
    x = 692.82

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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.