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Finding the Fourth Proportional to 534.20, 739.14 and 465.36

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Solution

The fourth proportional to 534.20, 739.14 and 465.36 is: 643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.20 : 739.14 = 465.36 : x
  2. Step 2: Convert to fraction form
    534.20/739.14 = 465.36/x
  3. Step 3: Cross multiply
    534.20x = 739.14 × 465.36
  4. Step 4: Simplify right side
    534.20x = 343,966.19
  5. Step 5: Solve for x
    x = 343,966.19/534.20
  6. Step 6: Final answer
    x = 643.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.