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Finding the Fourth Proportional to 585.91, 808.17 and 386.68

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Solution

The fourth proportional to 585.91, 808.17 and 386.68 is: 533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.91 : 808.17 = 386.68 : x
  2. Step 2: Convert to fraction form
    585.91/808.17 = 386.68/x
  3. Step 3: Cross multiply
    585.91x = 808.17 × 386.68
  4. Step 4: Simplify right side
    585.91x = 312,501.16
  5. Step 5: Solve for x
    x = 312,501.16/585.91
  6. Step 6: Final answer
    x = 533.36

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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.