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Finding the Fourth Proportional to 520.02, 716.52 and 426.45

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Solution

The fourth proportional to 520.02, 716.52 and 426.45 is: 587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.02 : 716.52 = 426.45 : x
  2. Step 2: Convert to fraction form
    520.02/716.52 = 426.45/x
  3. Step 3: Cross multiply
    520.02x = 716.52 × 426.45
  4. Step 4: Simplify right side
    520.02x = 305,559.95
  5. Step 5: Solve for x
    x = 305,559.95/520.02
  6. Step 6: Final answer
    x = 587.59

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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.