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Finding the Fourth Proportional to 520.88, 720.36 and 465.53

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Solution

The fourth proportional to 520.88, 720.36 and 465.53 is: 643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.88 : 720.36 = 465.53 : x
  2. Step 2: Convert to fraction form
    520.88/720.36 = 465.53/x
  3. Step 3: Cross multiply
    520.88x = 720.36 × 465.53
  4. Step 4: Simplify right side
    520.88x = 335,345.59
  5. Step 5: Solve for x
    x = 335,345.59/520.88
  6. Step 6: Final answer
    x = 643.81

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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.