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Finding the Fourth Proportional to 586, 808.66 and 324

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Solution

The fourth proportional to 586, 808.66 and 324 is: 447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    586 : 808.66 = 324 : x
  2. Step 2: Convert to fraction form
    586/808.66 = 324/x
  3. Step 3: Cross multiply
    586x = 808.66 × 324
  4. Step 4: Simplify right side
    586x = 262,005.84
  5. Step 5: Solve for x
    x = 262,005.84/586
  6. Step 6: Final answer
    x = 447.11

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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.