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Finding the Fourth Proportional to 585.45, 807.94 and 319.91

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Solution

The fourth proportional to 585.45, 807.94 and 319.91 is: 441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.45 : 807.94 = 319.91 : x
  2. Step 2: Convert to fraction form
    585.45/807.94 = 319.91/x
  3. Step 3: Cross multiply
    585.45x = 807.94 × 319.91
  4. Step 4: Simplify right side
    585.45x = 258,468.09
  5. Step 5: Solve for x
    x = 258,468.09/585.45
  6. Step 6: Final answer
    x = 441.49

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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.