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Finding the Fourth Proportional to 520.66, 718.17 and 365.14

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Solution

The fourth proportional to 520.66, 718.17 and 365.14 is: 503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.66 : 718.17 = 365.14 : x
  2. Step 2: Convert to fraction form
    520.66/718.17 = 365.14/x
  3. Step 3: Cross multiply
    520.66x = 718.17 × 365.14
  4. Step 4: Simplify right side
    520.66x = 262,232.59
  5. Step 5: Solve for x
    x = 262,232.59/520.66
  6. Step 6: Final answer
    x = 503.65

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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.