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Finding the Fourth Proportional to 380.48, 567.96 and 334.35

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Solution

The fourth proportional to 380.48, 567.96 and 334.35 is: 499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.48 : 567.96 = 334.35 : x
  2. Step 2: Convert to fraction form
    380.48/567.96 = 334.35/x
  3. Step 3: Cross multiply
    380.48x = 567.96 × 334.35
  4. Step 4: Simplify right side
    380.48x = 189,896.55
  5. Step 5: Solve for x
    x = 189,896.55/380.48
  6. Step 6: Final answer
    x = 499.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.