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Finding the Fourth Proportional to 520.98, 718.97 and 288.11

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Solution

The fourth proportional to 520.98, 718.97 and 288.11 is: 397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.98 : 718.97 = 288.11 : x
  2. Step 2: Convert to fraction form
    520.98/718.97 = 288.11/x
  3. Step 3: Cross multiply
    520.98x = 718.97 × 288.11
  4. Step 4: Simplify right side
    520.98x = 207,137.41
  5. Step 5: Solve for x
    x = 207,137.41/520.98
  6. Step 6: Final answer
    x = 397.59

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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.