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Finding the Fourth Proportional to 521.24, 718.07 and 427.68

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Solution

The fourth proportional to 521.24, 718.07 and 427.68 is: 589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.24 : 718.07 = 427.68 : x
  2. Step 2: Convert to fraction form
    521.24/718.07 = 427.68/x
  3. Step 3: Cross multiply
    521.24x = 718.07 × 427.68
  4. Step 4: Simplify right side
    521.24x = 307,102.04
  5. Step 5: Solve for x
    x = 307,102.04/521.24
  6. Step 6: Final answer
    x = 589.18

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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.