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Finding the Fourth Proportional to 585.46, 808.19 and 364.56

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Solution

The fourth proportional to 585.46, 808.19 and 364.56 is: 503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.46 : 808.19 = 364.56 : x
  2. Step 2: Convert to fraction form
    585.46/808.19 = 364.56/x
  3. Step 3: Cross multiply
    585.46x = 808.19 × 364.56
  4. Step 4: Simplify right side
    585.46x = 294,633.75
  5. Step 5: Solve for x
    x = 294,633.75/585.46
  6. Step 6: Final answer
    x = 503.25

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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.