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Finding the Fourth Proportional to 424.08, 584.16 and 336.72

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Solution

The fourth proportional to 424.08, 584.16 and 336.72 is: 463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.08 : 584.16 = 336.72 : x
  2. Step 2: Convert to fraction form
    424.08/584.16 = 336.72/x
  3. Step 3: Cross multiply
    424.08x = 584.16 × 336.72
  4. Step 4: Simplify right side
    424.08x = 196,698.36
  5. Step 5: Solve for x
    x = 196,698.36/424.08
  6. Step 6: Final answer
    x = 463.82

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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.