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Finding the Fourth Proportional to 369.92, 510.24 and 304.72

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Solution

The fourth proportional to 369.92, 510.24 and 304.72 is: 420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.92 : 510.24 = 304.72 : x
  2. Step 2: Convert to fraction form
    369.92/510.24 = 304.72/x
  3. Step 3: Cross multiply
    369.92x = 510.24 × 304.72
  4. Step 4: Simplify right side
    369.92x = 155,480.33
  5. Step 5: Solve for x
    x = 155,480.33/369.92
  6. Step 6: Final answer
    x = 420.31

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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.