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Finding the Fourth Proportional to 590.22, 814.08 and 432.90

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Solution

The fourth proportional to 590.22, 814.08 and 432.90 is: 597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.22 : 814.08 = 432.90 : x
  2. Step 2: Convert to fraction form
    590.22/814.08 = 432.90/x
  3. Step 3: Cross multiply
    590.22x = 814.08 × 432.90
  4. Step 4: Simplify right side
    590.22x = 352,415.23
  5. Step 5: Solve for x
    x = 352,415.23/590.22
  6. Step 6: Final answer
    x = 597.09

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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.