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Finding the Fourth Proportional to 586, 808.20 and 352.96

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Solution

The fourth proportional to 586, 808.20 and 352.96 is: 486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    586 : 808.20 = 352.96 : x
  2. Step 2: Convert to fraction form
    586/808.20 = 352.96/x
  3. Step 3: Cross multiply
    586x = 808.20 × 352.96
  4. Step 4: Simplify right side
    586x = 285,262.27
  5. Step 5: Solve for x
    x = 285,262.27/586
  6. Step 6: Final answer
    x = 486.80

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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.