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Finding the Fourth Proportional to 476.04, 656.76 and 289.44

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Solution

The fourth proportional to 476.04, 656.76 and 289.44 is: 399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.04 : 656.76 = 289.44 : x
  2. Step 2: Convert to fraction form
    476.04/656.76 = 289.44/x
  3. Step 3: Cross multiply
    476.04x = 656.76 × 289.44
  4. Step 4: Simplify right side
    476.04x = 190,092.61
  5. Step 5: Solve for x
    x = 190,092.61/476.04
  6. Step 6: Final answer
    x = 399.32

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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.