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Finding the Fourth Proportional to 590.06, 814.16 and 369.08

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Solution

The fourth proportional to 590.06, 814.16 and 369.08 is: 509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.06 : 814.16 = 369.08 : x
  2. Step 2: Convert to fraction form
    590.06/814.16 = 369.08/x
  3. Step 3: Cross multiply
    590.06x = 814.16 × 369.08
  4. Step 4: Simplify right side
    590.06x = 300,490.17
  5. Step 5: Solve for x
    x = 300,490.17/590.06
  6. Step 6: Final answer
    x = 509.25

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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.