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Finding the Fourth Proportional to 518.53, 715.57 and 282.48

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Solution

The fourth proportional to 518.53, 715.57 and 282.48 is: 389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.53 : 715.57 = 282.48 : x
  2. Step 2: Convert to fraction form
    518.53/715.57 = 282.48/x
  3. Step 3: Cross multiply
    518.53x = 715.57 × 282.48
  4. Step 4: Simplify right side
    518.53x = 202,133.51
  5. Step 5: Solve for x
    x = 202,133.51/518.53
  6. Step 6: Final answer
    x = 389.82

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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.