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Finding the Fourth Proportional to 348.16, 480.96 and 302.08

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Solution

The fourth proportional to 348.16, 480.96 and 302.08 is: 417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.16 : 480.96 = 302.08 : x
  2. Step 2: Convert to fraction form
    348.16/480.96 = 302.08/x
  3. Step 3: Cross multiply
    348.16x = 480.96 × 302.08
  4. Step 4: Simplify right side
    348.16x = 145,288.40
  5. Step 5: Solve for x
    x = 145,288.40/348.16
  6. Step 6: Final answer
    x = 417.30

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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.