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Finding the Fourth Proportional to 585.18, 807.51 and 364.14

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Solution

The fourth proportional to 585.18, 807.51 and 364.14 is: 502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.18 : 807.51 = 364.14 : x
  2. Step 2: Convert to fraction form
    585.18/807.51 = 364.14/x
  3. Step 3: Cross multiply
    585.18x = 807.51 × 364.14
  4. Step 4: Simplify right side
    585.18x = 294,046.69
  5. Step 5: Solve for x
    x = 294,046.69/585.18
  6. Step 6: Final answer
    x = 502.49

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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.