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Finding the Fourth Proportional to 380.61, 571.52 and 288.07

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Solution

The fourth proportional to 380.61, 571.52 and 288.07 is: 432.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.61 : 571.52 = 288.07 : x
  2. Step 2: Convert to fraction form
    380.61/571.52 = 288.07/x
  3. Step 3: Cross multiply
    380.61x = 571.52 × 288.07
  4. Step 4: Simplify right side
    380.61x = 164,637.77
  5. Step 5: Solve for x
    x = 164,637.77/380.61
  6. Step 6: Final answer
    x = 432.56

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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.