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Finding the Fourth Proportional to 476.13, 656.60 and 310.47

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Solution

The fourth proportional to 476.13, 656.60 and 310.47 is: 428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.13 : 656.60 = 310.47 : x
  2. Step 2: Convert to fraction form
    476.13/656.60 = 310.47/x
  3. Step 3: Cross multiply
    476.13x = 656.60 × 310.47
  4. Step 4: Simplify right side
    476.13x = 203,852.10
  5. Step 5: Solve for x
    x = 203,852.10/476.13
  6. Step 6: Final answer
    x = 428.15

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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.