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Finding the Fourth Proportional to 304.16, 419.45 and 264.33

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Solution

The fourth proportional to 304.16, 419.45 and 264.33 is: 364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.16 : 419.45 = 264.33 : x
  2. Step 2: Convert to fraction form
    304.16/419.45 = 264.33/x
  3. Step 3: Cross multiply
    304.16x = 419.45 × 264.33
  4. Step 4: Simplify right side
    304.16x = 110,871.90
  5. Step 5: Solve for x
    x = 110,871.90/304.16
  6. Step 6: Final answer
    x = 364.52

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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.