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Finding the Fourth Proportional to 306.53, 460.25 and 245.48

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Solution

The fourth proportional to 306.53, 460.25 and 245.48 is: 368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.53 : 460.25 = 245.48 : x
  2. Step 2: Convert to fraction form
    306.53/460.25 = 245.48/x
  3. Step 3: Cross multiply
    306.53x = 460.25 × 245.48
  4. Step 4: Simplify right side
    306.53x = 112,978.64
  5. Step 5: Solve for x
    x = 112,978.64/306.53
  6. Step 6: Final answer
    x = 368.58

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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.