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Finding the Fourth Proportional to 520.76, 718.23 and 415.85

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Solution

The fourth proportional to 520.76, 718.23 and 415.85 is: 573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.76 : 718.23 = 415.85 : x
  2. Step 2: Convert to fraction form
    520.76/718.23 = 415.85/x
  3. Step 3: Cross multiply
    520.76x = 718.23 × 415.85
  4. Step 4: Simplify right side
    520.76x = 298,677.95
  5. Step 5: Solve for x
    x = 298,677.95/520.76
  6. Step 6: Final answer
    x = 573.54

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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.