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Finding the Fourth Proportional to 606.90, 832.17 and 592.32

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Solution

The fourth proportional to 606.90, 832.17 and 592.32 is: 812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.90 : 832.17 = 592.32 : x
  2. Step 2: Convert to fraction form
    606.90/832.17 = 592.32/x
  3. Step 3: Cross multiply
    606.90x = 832.17 × 592.32
  4. Step 4: Simplify right side
    606.90x = 492,910.93
  5. Step 5: Solve for x
    x = 492,910.93/606.90
  6. Step 6: Final answer
    x = 812.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.