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Finding the Fourth Proportional to 534.24, 799.92 and 416.70

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Solution

The fourth proportional to 534.24, 799.92 and 416.70 is: 623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.24 : 799.92 = 416.70 : x
  2. Step 2: Convert to fraction form
    534.24/799.92 = 416.70/x
  3. Step 3: Cross multiply
    534.24x = 799.92 × 416.70
  4. Step 4: Simplify right side
    534.24x = 333,326.66
  5. Step 5: Solve for x
    x = 333,326.66/534.24
  6. Step 6: Final answer
    x = 623.93

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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.