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Finding the Fourth Proportional to 564.40, 846.60 and 461.80

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Solution

The fourth proportional to 564.40, 846.60 and 461.80 is: 692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.40 : 846.60 = 461.80 : x
  2. Step 2: Convert to fraction form
    564.40/846.60 = 461.80/x
  3. Step 3: Cross multiply
    564.40x = 846.60 × 461.80
  4. Step 4: Simplify right side
    564.40x = 390,959.88
  5. Step 5: Solve for x
    x = 390,959.88/564.40
  6. Step 6: Final answer
    x = 692.70

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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.