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Finding the Fourth Proportional to 480.52, 720.78 and 264.16

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Solution

The fourth proportional to 480.52, 720.78 and 264.16 is: 396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.52 : 720.78 = 264.16 : x
  2. Step 2: Convert to fraction form
    480.52/720.78 = 264.16/x
  3. Step 3: Cross multiply
    480.52x = 720.78 × 264.16
  4. Step 4: Simplify right side
    480.52x = 190,401.24
  5. Step 5: Solve for x
    x = 190,401.24/480.52
  6. Step 6: Final answer
    x = 396.24

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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.