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Finding the Fourth Proportional to 390.08, 537.72 and 242.60

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Solution

The fourth proportional to 390.08, 537.72 and 242.60 is: 334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.08 : 537.72 = 242.60 : x
  2. Step 2: Convert to fraction form
    390.08/537.72 = 242.60/x
  3. Step 3: Cross multiply
    390.08x = 537.72 × 242.60
  4. Step 4: Simplify right side
    390.08x = 130,450.87
  5. Step 5: Solve for x
    x = 130,450.87/390.08
  6. Step 6: Final answer
    x = 334.42

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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.