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Finding the Fourth Proportional to 389.61, 537.84 and 242.19

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Solution

The fourth proportional to 389.61, 537.84 and 242.19 is: 334.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.61 : 537.84 = 242.19 : x
  2. Step 2: Convert to fraction form
    389.61/537.84 = 242.19/x
  3. Step 3: Cross multiply
    389.61x = 537.84 × 242.19
  4. Step 4: Simplify right side
    389.61x = 130,259.47
  5. Step 5: Solve for x
    x = 130,259.47/389.61
  6. Step 6: Final answer
    x = 334.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.