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Finding the Fourth Proportional to 480.09, 662.63 and 314.01

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Solution

The fourth proportional to 480.09, 662.63 and 314.01 is: 433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.09 : 662.63 = 314.01 : x
  2. Step 2: Convert to fraction form
    480.09/662.63 = 314.01/x
  3. Step 3: Cross multiply
    480.09x = 662.63 × 314.01
  4. Step 4: Simplify right side
    480.09x = 208,072.45
  5. Step 5: Solve for x
    x = 208,072.45/480.09
  6. Step 6: Final answer
    x = 433.40

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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.