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Finding the Fourth Proportional to 389.22, 586.73 and 360.06

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Solution

The fourth proportional to 389.22, 586.73 and 360.06 is: 542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.22 : 586.73 = 360.06 : x
  2. Step 2: Convert to fraction form
    389.22/586.73 = 360.06/x
  3. Step 3: Cross multiply
    389.22x = 586.73 × 360.06
  4. Step 4: Simplify right side
    389.22x = 211,256.20
  5. Step 5: Solve for x
    x = 211,256.20/389.22
  6. Step 6: Final answer
    x = 542.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.