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Finding the Fourth Proportional to 590.49, 814.32 and 404.19

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Solution

The fourth proportional to 590.49, 814.32 and 404.19 is: 557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.49 : 814.32 = 404.19 : x
  2. Step 2: Convert to fraction form
    590.49/814.32 = 404.19/x
  3. Step 3: Cross multiply
    590.49x = 814.32 × 404.19
  4. Step 4: Simplify right side
    590.49x = 329,140.00
  5. Step 5: Solve for x
    x = 329,140.00/590.49
  6. Step 6: Final answer
    x = 557.40

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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.