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Finding the Fourth Proportional to 590.14, 814.35 and 369.01

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Solution

The fourth proportional to 590.14, 814.35 and 369.01 is: 509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.14 : 814.35 = 369.01 : x
  2. Step 2: Convert to fraction form
    590.14/814.35 = 369.01/x
  3. Step 3: Cross multiply
    590.14x = 814.35 × 369.01
  4. Step 4: Simplify right side
    590.14x = 300,501.11
  5. Step 5: Solve for x
    x = 300,501.11/590.14
  6. Step 6: Final answer
    x = 509.21

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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.