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Finding the Fourth Proportional to 577.01, 864.29 and 466.85

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Solution

The fourth proportional to 577.01, 864.29 and 466.85 is: 699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.01 : 864.29 = 466.85 : x
  2. Step 2: Convert to fraction form
    577.01/864.29 = 466.85/x
  3. Step 3: Cross multiply
    577.01x = 864.29 × 466.85
  4. Step 4: Simplify right side
    577.01x = 403,491.45
  5. Step 5: Solve for x
    x = 403,491.45/577.01
  6. Step 6: Final answer
    x = 699.28

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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.