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Finding the Fourth Proportional to 585.09, 875.81 and 431.19

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Solution

The fourth proportional to 585.09, 875.81 and 431.19 is: 645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.09 : 875.81 = 431.19 : x
  2. Step 2: Convert to fraction form
    585.09/875.81 = 431.19/x
  3. Step 3: Cross multiply
    585.09x = 875.81 × 431.19
  4. Step 4: Simplify right side
    585.09x = 377,633.98
  5. Step 5: Solve for x
    x = 377,633.98/585.09
  6. Step 6: Final answer
    x = 645.43

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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.