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Finding the Fourth Proportional to 534.99, 736.56 and 465.96

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Solution

The fourth proportional to 534.99, 736.56 and 465.96 is: 641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.99 : 736.56 = 465.96 : x
  2. Step 2: Convert to fraction form
    534.99/736.56 = 465.96/x
  3. Step 3: Cross multiply
    534.99x = 736.56 × 465.96
  4. Step 4: Simplify right side
    534.99x = 343,206.48
  5. Step 5: Solve for x
    x = 343,206.48/534.99
  6. Step 6: Final answer
    x = 641.52

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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.