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Finding the Fourth Proportional to 585.09, 807.87 and 364.43

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Solution

The fourth proportional to 585.09, 807.87 and 364.43 is: 503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.09 : 807.87 = 364.43 : x
  2. Step 2: Convert to fraction form
    585.09/807.87 = 364.43/x
  3. Step 3: Cross multiply
    585.09x = 807.87 × 364.43
  4. Step 4: Simplify right side
    585.09x = 294,415.45
  5. Step 5: Solve for x
    x = 294,415.45/585.09
  6. Step 6: Final answer
    x = 503.20

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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.