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Finding the Fourth Proportional to 480.64, 720.15 and 384.25

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Solution

The fourth proportional to 480.64, 720.15 and 384.25 is: 575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.64 : 720.15 = 384.25 : x
  2. Step 2: Convert to fraction form
    480.64/720.15 = 384.25/x
  3. Step 3: Cross multiply
    480.64x = 720.15 × 384.25
  4. Step 4: Simplify right side
    480.64x = 276,717.64
  5. Step 5: Solve for x
    x = 276,717.64/480.64
  6. Step 6: Final answer
    x = 575.73

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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.