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Finding the Fourth Proportional to 389.76, 538.14 and 242.46

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Solution

The fourth proportional to 389.76, 538.14 and 242.46 is: 334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.76 : 538.14 = 242.46 : x
  2. Step 2: Convert to fraction form
    389.76/538.14 = 242.46/x
  3. Step 3: Cross multiply
    389.76x = 538.14 × 242.46
  4. Step 4: Simplify right side
    389.76x = 130,477.42
  5. Step 5: Solve for x
    x = 130,477.42/389.76
  6. Step 6: Final answer
    x = 334.76

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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.