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Finding the Fourth Proportional to 520.09, 716.11 and 446.11

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Solution

The fourth proportional to 520.09, 716.11 and 446.11 is: 614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.09 : 716.11 = 446.11 : x
  2. Step 2: Convert to fraction form
    520.09/716.11 = 446.11/x
  3. Step 3: Cross multiply
    520.09x = 716.11 × 446.11
  4. Step 4: Simplify right side
    520.09x = 319,463.83
  5. Step 5: Solve for x
    x = 319,463.83/520.09
  6. Step 6: Final answer
    x = 614.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.