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Finding the Fourth Proportional to 380.30, 569.84 and 235.71

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Solution

The fourth proportional to 380.30, 569.84 and 235.71 is: 353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.30 : 569.84 = 235.71 : x
  2. Step 2: Convert to fraction form
    380.30/569.84 = 235.71/x
  3. Step 3: Cross multiply
    380.30x = 569.84 × 235.71
  4. Step 4: Simplify right side
    380.30x = 134,315.81
  5. Step 5: Solve for x
    x = 134,315.81/380.30
  6. Step 6: Final answer
    x = 353.19

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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.