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Finding the Fourth Proportional to 480.08, 662.28 and 314.23

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Solution

The fourth proportional to 480.08, 662.28 and 314.23 is: 433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.08 : 662.28 = 314.23 : x
  2. Step 2: Convert to fraction form
    480.08/662.28 = 314.23/x
  3. Step 3: Cross multiply
    480.08x = 662.28 × 314.23
  4. Step 4: Simplify right side
    480.08x = 208,108.24
  5. Step 5: Solve for x
    x = 208,108.24/480.08
  6. Step 6: Final answer
    x = 433.49

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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.