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Finding the Fourth Proportional to 304.49, 419.16 and 264.60

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Solution

The fourth proportional to 304.49, 419.16 and 264.60 is: 364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.49 : 419.16 = 264.60 : x
  2. Step 2: Convert to fraction form
    304.49/419.16 = 264.60/x
  3. Step 3: Cross multiply
    304.49x = 419.16 × 264.60
  4. Step 4: Simplify right side
    304.49x = 110,909.74
  5. Step 5: Solve for x
    x = 110,909.74/304.49
  6. Step 6: Final answer
    x = 364.25

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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.