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Finding the Fourth Proportional to 480.94, 663.69 and 357.18

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Solution

The fourth proportional to 480.94, 663.69 and 357.18 is: 492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.94 : 663.69 = 357.18 : x
  2. Step 2: Convert to fraction form
    480.94/663.69 = 357.18/x
  3. Step 3: Cross multiply
    480.94x = 663.69 × 357.18
  4. Step 4: Simplify right side
    480.94x = 237,061.24
  5. Step 5: Solve for x
    x = 237,061.24/480.94
  6. Step 6: Final answer
    x = 492.91

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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.