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Finding the Fourth Proportional to 534.26, 805.01 and 444.96

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Solution

The fourth proportional to 534.26, 805.01 and 444.96 is: 670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.26 : 805.01 = 444.96 : x
  2. Step 2: Convert to fraction form
    534.26/805.01 = 444.96/x
  3. Step 3: Cross multiply
    534.26x = 805.01 × 444.96
  4. Step 4: Simplify right side
    534.26x = 358,197.25
  5. Step 5: Solve for x
    x = 358,197.25/534.26
  6. Step 6: Final answer
    x = 670.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.