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Finding the Fourth Proportional to 380.32, 569.76 and 319.84

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Solution

The fourth proportional to 380.32, 569.76 and 319.84 is: 479.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.32 : 569.76 = 319.84 : x
  2. Step 2: Convert to fraction form
    380.32/569.76 = 319.84/x
  3. Step 3: Cross multiply
    380.32x = 569.76 × 319.84
  4. Step 4: Simplify right side
    380.32x = 182,232.04
  5. Step 5: Solve for x
    x = 182,232.04/380.32
  6. Step 6: Final answer
    x = 479.15

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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.