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Finding the Fourth Proportional to 515.77, 711.80 and 282.90

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Solution

The fourth proportional to 515.77, 711.80 and 282.90 is: 390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.77 : 711.80 = 282.90 : x
  2. Step 2: Convert to fraction form
    515.77/711.80 = 282.90/x
  3. Step 3: Cross multiply
    515.77x = 711.80 × 282.90
  4. Step 4: Simplify right side
    515.77x = 201,363.25
  5. Step 5: Solve for x
    x = 201,363.25/515.77
  6. Step 6: Final answer
    x = 390.41

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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.