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Finding the Fourth Proportional to 454.14, 684.27 and 374.76

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Solution

The fourth proportional to 454.14, 684.27 and 374.76 is: 564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.14 : 684.27 = 374.76 : x
  2. Step 2: Convert to fraction form
    454.14/684.27 = 374.76/x
  3. Step 3: Cross multiply
    454.14x = 684.27 × 374.76
  4. Step 4: Simplify right side
    454.14x = 256,437.03
  5. Step 5: Solve for x
    x = 256,437.03/454.14
  6. Step 6: Final answer
    x = 564.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.