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Finding the Fourth Proportional to 317.76, 476.64 and 204.48

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Solution

The fourth proportional to 317.76, 476.64 and 204.48 is: 306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.76 : 476.64 = 204.48 : x
  2. Step 2: Convert to fraction form
    317.76/476.64 = 204.48/x
  3. Step 3: Cross multiply
    317.76x = 476.64 × 204.48
  4. Step 4: Simplify right side
    317.76x = 97,463.35
  5. Step 5: Solve for x
    x = 97,463.35/317.76
  6. Step 6: Final answer
    x = 306.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.