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Finding the Fourth Proportional to 515.06, 710.81 and 282.19

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Solution

The fourth proportional to 515.06, 710.81 and 282.19 is: 389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.06 : 710.81 = 282.19 : x
  2. Step 2: Convert to fraction form
    515.06/710.81 = 282.19/x
  3. Step 3: Cross multiply
    515.06x = 710.81 × 282.19
  4. Step 4: Simplify right side
    515.06x = 200,580.29
  5. Step 5: Solve for x
    x = 200,580.29/515.06
  6. Step 6: Final answer
    x = 389.43

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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.