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Finding the Fourth Proportional to 540.24, 808.26 and 466.50

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Solution

The fourth proportional to 540.24, 808.26 and 466.50 is: 697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.24 : 808.26 = 466.50 : x
  2. Step 2: Convert to fraction form
    540.24/808.26 = 466.50/x
  3. Step 3: Cross multiply
    540.24x = 808.26 × 466.50
  4. Step 4: Simplify right side
    540.24x = 377,053.29
  5. Step 5: Solve for x
    x = 377,053.29/540.24
  6. Step 6: Final answer
    x = 697.94

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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.