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Finding the Fourth Proportional to 534.33, 735.66 and 465.30

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Solution

The fourth proportional to 534.33, 735.66 and 465.30 is: 640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.33 : 735.66 = 465.30 : x
  2. Step 2: Convert to fraction form
    534.33/735.66 = 465.30/x
  3. Step 3: Cross multiply
    534.33x = 735.66 × 465.30
  4. Step 4: Simplify right side
    534.33x = 342,302.60
  5. Step 5: Solve for x
    x = 342,302.60/534.33
  6. Step 6: Final answer
    x = 640.62

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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.