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Finding the Fourth Proportional to 590.58, 814.70 and 369.66

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Solution

The fourth proportional to 590.58, 814.70 and 369.66 is: 509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.58 : 814.70 = 369.66 : x
  2. Step 2: Convert to fraction form
    590.58/814.70 = 369.66/x
  3. Step 3: Cross multiply
    590.58x = 814.70 × 369.66
  4. Step 4: Simplify right side
    590.58x = 301,162.00
  5. Step 5: Solve for x
    x = 301,162.00/590.58
  6. Step 6: Final answer
    x = 509.94

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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.