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Finding the Fourth Proportional to 585.12, 807.41 and 364.10

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Solution

The fourth proportional to 585.12, 807.41 and 364.10 is: 502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.12 : 807.41 = 364.10 : x
  2. Step 2: Convert to fraction form
    585.12/807.41 = 364.10/x
  3. Step 3: Cross multiply
    585.12x = 807.41 × 364.10
  4. Step 4: Simplify right side
    585.12x = 293,972.12
  5. Step 5: Solve for x
    x = 293,972.12/585.12
  6. Step 6: Final answer
    x = 502.41

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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.