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Finding the Fourth Proportional to 520.22, 716.64 and 437.78

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Solution

The fourth proportional to 520.22, 716.64 and 437.78 is: 603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.22 : 716.64 = 437.78 : x
  2. Step 2: Convert to fraction form
    520.22/716.64 = 437.78/x
  3. Step 3: Cross multiply
    520.22x = 716.64 × 437.78
  4. Step 4: Simplify right side
    520.22x = 313,730.66
  5. Step 5: Solve for x
    x = 313,730.66/520.22
  6. Step 6: Final answer
    x = 603.07

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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.