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Finding the Fourth Proportional to 386.64, 533.88 and 300.24

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Solution

The fourth proportional to 386.64, 533.88 and 300.24 is: 414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.64 : 533.88 = 300.24 : x
  2. Step 2: Convert to fraction form
    386.64/533.88 = 300.24/x
  3. Step 3: Cross multiply
    386.64x = 533.88 × 300.24
  4. Step 4: Simplify right side
    386.64x = 160,292.13
  5. Step 5: Solve for x
    x = 160,292.13/386.64
  6. Step 6: Final answer
    x = 414.58

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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.