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Finding the Fourth Proportional to 515.86, 711.91 and 282.98

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Solution

The fourth proportional to 515.86, 711.91 and 282.98 is: 390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.86 : 711.91 = 282.98 : x
  2. Step 2: Convert to fraction form
    515.86/711.91 = 282.98/x
  3. Step 3: Cross multiply
    515.86x = 711.91 × 282.98
  4. Step 4: Simplify right side
    515.86x = 201,457.36
  5. Step 5: Solve for x
    x = 201,457.36/515.86
  6. Step 6: Final answer
    x = 390.53

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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.