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Finding the Fourth Proportional to 455.56, 682.80 and 374.56

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Solution

The fourth proportional to 455.56, 682.80 and 374.56 is: 561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.56 : 682.80 = 374.56 : x
  2. Step 2: Convert to fraction form
    455.56/682.80 = 374.56/x
  3. Step 3: Cross multiply
    455.56x = 682.80 × 374.56
  4. Step 4: Simplify right side
    455.56x = 255,749.57
  5. Step 5: Solve for x
    x = 255,749.57/455.56
  6. Step 6: Final answer
    x = 561.40

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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.