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Finding the Fourth Proportional to 348.64, 480.81 and 232

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Solution

The fourth proportional to 348.64, 480.81 and 232 is: 319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.64 : 480.81 = 232 : x
  2. Step 2: Convert to fraction form
    348.64/480.81 = 232/x
  3. Step 3: Cross multiply
    348.64x = 480.81 × 232
  4. Step 4: Simplify right side
    348.64x = 111,547.92
  5. Step 5: Solve for x
    x = 111,547.92/348.64
  6. Step 6: Final answer
    x = 319.95

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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.