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Finding the Fourth Proportional to 386.22, 578.88 and 304.05

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Solution

The fourth proportional to 386.22, 578.88 and 304.05 is: 455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.22 : 578.88 = 304.05 : x
  2. Step 2: Convert to fraction form
    386.22/578.88 = 304.05/x
  3. Step 3: Cross multiply
    386.22x = 578.88 × 304.05
  4. Step 4: Simplify right side
    386.22x = 176,008.46
  5. Step 5: Solve for x
    x = 176,008.46/386.22
  6. Step 6: Final answer
    x = 455.72

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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.