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Finding the Fourth Proportional to 370.40, 554.52 and 274.64

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Solution

The fourth proportional to 370.40, 554.52 and 274.64 is: 411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.40 : 554.52 = 274.64 : x
  2. Step 2: Convert to fraction form
    370.40/554.52 = 274.64/x
  3. Step 3: Cross multiply
    370.40x = 554.52 × 274.64
  4. Step 4: Simplify right side
    370.40x = 152,293.37
  5. Step 5: Solve for x
    x = 152,293.37/370.40
  6. Step 6: Final answer
    x = 411.16

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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.