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Finding the Fourth Proportional to 590, 814.21 and 383.36

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Solution

The fourth proportional to 590, 814.21 and 383.36 is: 529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    590 : 814.21 = 383.36 : x
  2. Step 2: Convert to fraction form
    590/814.21 = 383.36/x
  3. Step 3: Cross multiply
    590x = 814.21 × 383.36
  4. Step 4: Simplify right side
    590x = 312,135.55
  5. Step 5: Solve for x
    x = 312,135.55/590
  6. Step 6: Final answer
    x = 529.04

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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.