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Finding the Fourth Proportional to 521.48, 720.23 and 355.40

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Solution

The fourth proportional to 521.48, 720.23 and 355.40 is: 490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.48 : 720.23 = 355.40 : x
  2. Step 2: Convert to fraction form
    521.48/720.23 = 355.40/x
  3. Step 3: Cross multiply
    521.48x = 720.23 × 355.40
  4. Step 4: Simplify right side
    521.48x = 255,969.74
  5. Step 5: Solve for x
    x = 255,969.74/521.48
  6. Step 6: Final answer
    x = 490.85

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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.