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Finding the Fourth Proportional to 589.86, 814.14 and 404.28

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Solution

The fourth proportional to 589.86, 814.14 and 404.28 is: 558.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.86 : 814.14 = 404.28 : x
  2. Step 2: Convert to fraction form
    589.86/814.14 = 404.28/x
  3. Step 3: Cross multiply
    589.86x = 814.14 × 404.28
  4. Step 4: Simplify right side
    589.86x = 329,140.52
  5. Step 5: Solve for x
    x = 329,140.52/589.86
  6. Step 6: Final answer
    x = 558.00

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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.