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Finding the Fourth Proportional to 592.14, 816.90 and 356.10

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Solution

The fourth proportional to 592.14, 816.90 and 356.10 is: 491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.14 : 816.90 = 356.10 : x
  2. Step 2: Convert to fraction form
    592.14/816.90 = 356.10/x
  3. Step 3: Cross multiply
    592.14x = 816.90 × 356.10
  4. Step 4: Simplify right side
    592.14x = 290,898.09
  5. Step 5: Solve for x
    x = 290,898.09/592.14
  6. Step 6: Final answer
    x = 491.27

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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.