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Finding the Fourth Proportional to 380.08, 569.54 and 288.70

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Solution

The fourth proportional to 380.08, 569.54 and 288.70 is: 432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.08 : 569.54 = 288.70 : x
  2. Step 2: Convert to fraction form
    380.08/569.54 = 288.70/x
  3. Step 3: Cross multiply
    380.08x = 569.54 × 288.70
  4. Step 4: Simplify right side
    380.08x = 164,426.20
  5. Step 5: Solve for x
    x = 164,426.20/380.08
  6. Step 6: Final answer
    x = 432.61

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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.