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Finding the Fourth Proportional to 520.40, 718.23 and 321.35

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Solution

The fourth proportional to 520.40, 718.23 and 321.35 is: 443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.40 : 718.23 = 321.35 : x
  2. Step 2: Convert to fraction form
    520.40/718.23 = 321.35/x
  3. Step 3: Cross multiply
    520.40x = 718.23 × 321.35
  4. Step 4: Simplify right side
    520.40x = 230,803.21
  5. Step 5: Solve for x
    x = 230,803.21/520.40
  6. Step 6: Final answer
    x = 443.51

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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.