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Finding the Fourth Proportional to 387.23, 533.75 and 304.20

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Solution

The fourth proportional to 387.23, 533.75 and 304.20 is: 419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.23 : 533.75 = 304.20 : x
  2. Step 2: Convert to fraction form
    387.23/533.75 = 304.20/x
  3. Step 3: Cross multiply
    387.23x = 533.75 × 304.20
  4. Step 4: Simplify right side
    387.23x = 162,365.23
  5. Step 5: Solve for x
    x = 162,365.23/387.23
  6. Step 6: Final answer
    x = 419.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.