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Finding the Fourth Proportional to 592.12, 817.08 and 356.08

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Solution

The fourth proportional to 592.12, 817.08 and 356.08 is: 491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.12 : 817.08 = 356.08 : x
  2. Step 2: Convert to fraction form
    592.12/817.08 = 356.08/x
  3. Step 3: Cross multiply
    592.12x = 817.08 × 356.08
  4. Step 4: Simplify right side
    592.12x = 290,945.85
  5. Step 5: Solve for x
    x = 290,945.85/592.12
  6. Step 6: Final answer
    x = 491.36

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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.