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Finding the Fourth Proportional to 480.52, 662.93 and 294

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Solution

The fourth proportional to 480.52, 662.93 and 294 is: 405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.52 : 662.93 = 294 : x
  2. Step 2: Convert to fraction form
    480.52/662.93 = 294/x
  3. Step 3: Cross multiply
    480.52x = 662.93 × 294
  4. Step 4: Simplify right side
    480.52x = 194,901.42
  5. Step 5: Solve for x
    x = 194,901.42/480.52
  6. Step 6: Final answer
    x = 405.61

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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.