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Finding the Fourth Proportional to 480.71, 720.66 and 285.50

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Solution

The fourth proportional to 480.71, 720.66 and 285.50 is: 428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.71 : 720.66 = 285.50 : x
  2. Step 2: Convert to fraction form
    480.71/720.66 = 285.50/x
  3. Step 3: Cross multiply
    480.71x = 720.66 × 285.50
  4. Step 4: Simplify right side
    480.71x = 205,748.43
  5. Step 5: Solve for x
    x = 205,748.43/480.71
  6. Step 6: Final answer
    x = 428.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.