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Finding the Fourth Proportional to 370.40, 556.74 and 342.71

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Solution

The fourth proportional to 370.40, 556.74 and 342.71 is: 515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.40 : 556.74 = 342.71 : x
  2. Step 2: Convert to fraction form
    370.40/556.74 = 342.71/x
  3. Step 3: Cross multiply
    370.40x = 556.74 × 342.71
  4. Step 4: Simplify right side
    370.40x = 190,797.58
  5. Step 5: Solve for x
    x = 190,797.58/370.40
  6. Step 6: Final answer
    x = 515.12

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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.