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Finding the Fourth Proportional to 592.21, 817.32 and 359.34

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Solution

The fourth proportional to 592.21, 817.32 and 359.34 is: 495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.21 : 817.32 = 359.34 : x
  2. Step 2: Convert to fraction form
    592.21/817.32 = 359.34/x
  3. Step 3: Cross multiply
    592.21x = 817.32 × 359.34
  4. Step 4: Simplify right side
    592.21x = 293,695.77
  5. Step 5: Solve for x
    x = 293,695.77/592.21
  6. Step 6: Final answer
    x = 495.93

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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.