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Finding the Fourth Proportional to 539.36, 805.60 and 466.46

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Solution

The fourth proportional to 539.36, 805.60 and 466.46 is: 696.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.36 : 805.60 = 466.46 : x
  2. Step 2: Convert to fraction form
    539.36/805.60 = 466.46/x
  3. Step 3: Cross multiply
    539.36x = 805.60 × 466.46
  4. Step 4: Simplify right side
    539.36x = 375,777.13
  5. Step 5: Solve for x
    x = 375,777.13/539.36
  6. Step 6: Final answer
    x = 696.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.