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Finding the Fourth Proportional to 304.48, 419.76 and 242.52

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Solution

The fourth proportional to 304.48, 419.76 and 242.52 is: 334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.48 : 419.76 = 242.52 : x
  2. Step 2: Convert to fraction form
    304.48/419.76 = 242.52/x
  3. Step 3: Cross multiply
    304.48x = 419.76 × 242.52
  4. Step 4: Simplify right side
    304.48x = 101,800.20
  5. Step 5: Solve for x
    x = 101,800.20/304.48
  6. Step 6: Final answer
    x = 334.34

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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.