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Finding the Fourth Proportional to 348.64, 480.72 and 282.94

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Solution

The fourth proportional to 348.64, 480.72 and 282.94 is: 390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.64 : 480.72 = 282.94 : x
  2. Step 2: Convert to fraction form
    348.64/480.72 = 282.94/x
  3. Step 3: Cross multiply
    348.64x = 480.72 × 282.94
  4. Step 4: Simplify right side
    348.64x = 136,014.92
  5. Step 5: Solve for x
    x = 136,014.92/348.64
  6. Step 6: Final answer
    x = 390.13

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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.