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Finding the Fourth Proportional to 585.38, 807.75 and 336.71

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Solution

The fourth proportional to 585.38, 807.75 and 336.71 is: 464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.38 : 807.75 = 336.71 : x
  2. Step 2: Convert to fraction form
    585.38/807.75 = 336.71/x
  3. Step 3: Cross multiply
    585.38x = 807.75 × 336.71
  4. Step 4: Simplify right side
    585.38x = 271,977.50
  5. Step 5: Solve for x
    x = 271,977.50/585.38
  6. Step 6: Final answer
    x = 464.62

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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.