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Finding the Fourth Proportional to 585.29, 807.86 and 364.12

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Solution

The fourth proportional to 585.29, 807.86 and 364.12 is: 502.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.29 : 807.86 = 364.12 : x
  2. Step 2: Convert to fraction form
    585.29/807.86 = 364.12/x
  3. Step 3: Cross multiply
    585.29x = 807.86 × 364.12
  4. Step 4: Simplify right side
    585.29x = 294,152.12
  5. Step 5: Solve for x
    x = 294,152.12/585.29
  6. Step 6: Final answer
    x = 502.58

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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.