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Finding the Fourth Proportional to 534.60, 800.99 and 431.93

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Solution

The fourth proportional to 534.60, 800.99 and 431.93 is: 647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.60 : 800.99 = 431.93 : x
  2. Step 2: Convert to fraction form
    534.60/800.99 = 431.93/x
  3. Step 3: Cross multiply
    534.60x = 800.99 × 431.93
  4. Step 4: Simplify right side
    534.60x = 345,969.45
  5. Step 5: Solve for x
    x = 345,969.45/534.60
  6. Step 6: Final answer
    x = 647.16

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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.