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Finding the Fourth Proportional to 480.09, 662.75 and 314.31

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Solution

The fourth proportional to 480.09, 662.75 and 314.31 is: 433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.09 : 662.75 = 314.31 : x
  2. Step 2: Convert to fraction form
    480.09/662.75 = 314.31/x
  3. Step 3: Cross multiply
    480.09x = 662.75 × 314.31
  4. Step 4: Simplify right side
    480.09x = 208,307.38
  5. Step 5: Solve for x
    x = 208,307.38/480.09
  6. Step 6: Final answer
    x = 433.89

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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.