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Finding the Fourth Proportional to 590, 884.22 and 460.16

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Solution

The fourth proportional to 590, 884.22 and 460.16 is: 689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    590 : 884.22 = 460.16 : x
  2. Step 2: Convert to fraction form
    590/884.22 = 460.16/x
  3. Step 3: Cross multiply
    590x = 884.22 × 460.16
  4. Step 4: Simplify right side
    590x = 406,882.68
  5. Step 5: Solve for x
    x = 406,882.68/590
  6. Step 6: Final answer
    x = 689.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.