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Finding the Fourth Proportional to 476.16, 656.91 and 336.30

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Solution

The fourth proportional to 476.16, 656.91 and 336.30 is: 463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.16 : 656.91 = 336.30 : x
  2. Step 2: Convert to fraction form
    476.16/656.91 = 336.30/x
  3. Step 3: Cross multiply
    476.16x = 656.91 × 336.30
  4. Step 4: Simplify right side
    476.16x = 220,918.83
  5. Step 5: Solve for x
    x = 220,918.83/476.16
  6. Step 6: Final answer
    x = 463.96

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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.