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Finding the Fourth Proportional to 592.41, 817.19 and 356.20

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Solution

The fourth proportional to 592.41, 817.19 and 356.20 is: 491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.41 : 817.19 = 356.20 : x
  2. Step 2: Convert to fraction form
    592.41/817.19 = 356.20/x
  3. Step 3: Cross multiply
    592.41x = 817.19 × 356.20
  4. Step 4: Simplify right side
    592.41x = 291,080.59
  5. Step 5: Solve for x
    x = 291,080.59/592.41
  6. Step 6: Final answer
    x = 491.35

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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.