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Finding the Fourth Proportional to 590.74, 814.95 and 380.82

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Solution

The fourth proportional to 590.74, 814.95 and 380.82 is: 525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.74 : 814.95 = 380.82 : x
  2. Step 2: Convert to fraction form
    590.74/814.95 = 380.82/x
  3. Step 3: Cross multiply
    590.74x = 814.95 × 380.82
  4. Step 4: Simplify right side
    590.74x = 310,349.26
  5. Step 5: Solve for x
    x = 310,349.26/590.74
  6. Step 6: Final answer
    x = 525.36

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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.