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Finding the Fourth Proportional to 515.07, 710.78 and 282.18

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Solution

The fourth proportional to 515.07, 710.78 and 282.18 is: 389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.07 : 710.78 = 282.18 : x
  2. Step 2: Convert to fraction form
    515.07/710.78 = 282.18/x
  3. Step 3: Cross multiply
    515.07x = 710.78 × 282.18
  4. Step 4: Simplify right side
    515.07x = 200,566.49
  5. Step 5: Solve for x
    x = 200,566.49/515.07
  6. Step 6: Final answer
    x = 389.40

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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.