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Finding the Fourth Proportional to 476.24, 656.52 and 338

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Solution

The fourth proportional to 476.24, 656.52 and 338 is: 465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.24 : 656.52 = 338 : x
  2. Step 2: Convert to fraction form
    476.24/656.52 = 338/x
  3. Step 3: Cross multiply
    476.24x = 656.52 × 338
  4. Step 4: Simplify right side
    476.24x = 221,903.76
  5. Step 5: Solve for x
    x = 221,903.76/476.24
  6. Step 6: Final answer
    x = 465.95

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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.