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Finding the Fourth Proportional to 590.94, 814.42 and 472.02

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Solution

The fourth proportional to 590.94, 814.42 and 472.02 is: 650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.94 : 814.42 = 472.02 : x
  2. Step 2: Convert to fraction form
    590.94/814.42 = 472.02/x
  3. Step 3: Cross multiply
    590.94x = 814.42 × 472.02
  4. Step 4: Simplify right side
    590.94x = 384,422.53
  5. Step 5: Solve for x
    x = 384,422.53/590.94
  6. Step 6: Final answer
    x = 650.53

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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.