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Finding the Fourth Proportional to 380.88, 569.76 and 323.16

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Solution

The fourth proportional to 380.88, 569.76 and 323.16 is: 483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.88 : 569.76 = 323.16 : x
  2. Step 2: Convert to fraction form
    380.88/569.76 = 323.16/x
  3. Step 3: Cross multiply
    380.88x = 569.76 × 323.16
  4. Step 4: Simplify right side
    380.88x = 184,123.64
  5. Step 5: Solve for x
    x = 184,123.64/380.88
  6. Step 6: Final answer
    x = 483.42

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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.