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Finding the Fourth Proportional to 476.02, 656.80 and 279.60

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Solution

The fourth proportional to 476.02, 656.80 and 279.60 is: 385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.02 : 656.80 = 279.60 : x
  2. Step 2: Convert to fraction form
    476.02/656.80 = 279.60/x
  3. Step 3: Cross multiply
    476.02x = 656.80 × 279.60
  4. Step 4: Simplify right side
    476.02x = 183,641.28
  5. Step 5: Solve for x
    x = 183,641.28/476.02
  6. Step 6: Final answer
    x = 385.78

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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.