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Finding the Fourth Proportional to 585.31, 808.14 and 364.34

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Solution

The fourth proportional to 585.31, 808.14 and 364.34 is: 503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.31 : 808.14 = 364.34 : x
  2. Step 2: Convert to fraction form
    585.31/808.14 = 364.34/x
  3. Step 3: Cross multiply
    585.31x = 808.14 × 364.34
  4. Step 4: Simplify right side
    585.31x = 294,437.73
  5. Step 5: Solve for x
    x = 294,437.73/585.31
  6. Step 6: Final answer
    x = 503.05

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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.