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Finding the Fourth Proportional to 585.41, 808.25 and 364.69

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Solution

The fourth proportional to 585.41, 808.25 and 364.69 is: 503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.41 : 808.25 = 364.69 : x
  2. Step 2: Convert to fraction form
    585.41/808.25 = 364.69/x
  3. Step 3: Cross multiply
    585.41x = 808.25 × 364.69
  4. Step 4: Simplify right side
    585.41x = 294,760.69
  5. Step 5: Solve for x
    x = 294,760.69/585.41
  6. Step 6: Final answer
    x = 503.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.