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Finding the Fourth Proportional to 585.20, 807.59 and 361.22

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Solution

The fourth proportional to 585.20, 807.59 and 361.22 is: 498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.20 : 807.59 = 361.22 : x
  2. Step 2: Convert to fraction form
    585.20/807.59 = 361.22/x
  3. Step 3: Cross multiply
    585.20x = 807.59 × 361.22
  4. Step 4: Simplify right side
    585.20x = 291,714.52
  5. Step 5: Solve for x
    x = 291,714.52/585.20
  6. Step 6: Final answer
    x = 498.48

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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.