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Finding the Fourth Proportional to 590.34, 814.10 and 425.36

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Solution

The fourth proportional to 590.34, 814.10 and 425.36 is: 586.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.34 : 814.10 = 425.36 : x
  2. Step 2: Convert to fraction form
    590.34/814.10 = 425.36/x
  3. Step 3: Cross multiply
    590.34x = 814.10 × 425.36
  4. Step 4: Simplify right side
    590.34x = 346,285.58
  5. Step 5: Solve for x
    x = 346,285.58/590.34
  6. Step 6: Final answer
    x = 586.59

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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.