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Finding the Fourth Proportional to 480.01, 720.25 and 285.01

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Solution

The fourth proportional to 480.01, 720.25 and 285.01 is: 427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.01 : 720.25 = 285.01 : x
  2. Step 2: Convert to fraction form
    480.01/720.25 = 285.01/x
  3. Step 3: Cross multiply
    480.01x = 720.25 × 285.01
  4. Step 4: Simplify right side
    480.01x = 205,278.45
  5. Step 5: Solve for x
    x = 205,278.45/480.01
  6. Step 6: Final answer
    x = 427.65

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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.