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Finding the Fourth Proportional to 520.47, 717.74 and 441.70

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Solution

The fourth proportional to 520.47, 717.74 and 441.70 is: 609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.47 : 717.74 = 441.70 : x
  2. Step 2: Convert to fraction form
    520.47/717.74 = 441.70/x
  3. Step 3: Cross multiply
    520.47x = 717.74 × 441.70
  4. Step 4: Simplify right side
    520.47x = 317,021.76
  5. Step 5: Solve for x
    x = 317,021.76/520.47
  6. Step 6: Final answer
    x = 609.11

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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.