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Finding the Fourth Proportional to 520.41, 718.02 and 310.59

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Solution

The fourth proportional to 520.41, 718.02 and 310.59 is: 428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.41 : 718.02 = 310.59 : x
  2. Step 2: Convert to fraction form
    520.41/718.02 = 310.59/x
  3. Step 3: Cross multiply
    520.41x = 718.02 × 310.59
  4. Step 4: Simplify right side
    520.41x = 223,009.83
  5. Step 5: Solve for x
    x = 223,009.83/520.41
  6. Step 6: Final answer
    x = 428.53

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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.