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Finding the Fourth Proportional to 592.23, 817.07 and 352.91

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Solution

The fourth proportional to 592.23, 817.07 and 352.91 is: 486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.23 : 817.07 = 352.91 : x
  2. Step 2: Convert to fraction form
    592.23/817.07 = 352.91/x
  3. Step 3: Cross multiply
    592.23x = 817.07 × 352.91
  4. Step 4: Simplify right side
    592.23x = 288,354.44
  5. Step 5: Solve for x
    x = 288,354.44/592.23
  6. Step 6: Final answer
    x = 486.89

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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.