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Finding the Fourth Proportional to 480.55, 662.55 and 314.50

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Solution

The fourth proportional to 480.55, 662.55 and 314.50 is: 433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.55 : 662.55 = 314.50 : x
  2. Step 2: Convert to fraction form
    480.55/662.55 = 314.50/x
  3. Step 3: Cross multiply
    480.55x = 662.55 × 314.50
  4. Step 4: Simplify right side
    480.55x = 208,371.98
  5. Step 5: Solve for x
    x = 208,371.98/480.55
  6. Step 6: Final answer
    x = 433.61

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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.