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Finding the Fourth Proportional to 614.10, 920.54 and 305.48

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Solution

The fourth proportional to 614.10, 920.54 and 305.48 is: 457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.10 : 920.54 = 305.48 : x
  2. Step 2: Convert to fraction form
    614.10/920.54 = 305.48/x
  3. Step 3: Cross multiply
    614.10x = 920.54 × 305.48
  4. Step 4: Simplify right side
    614.10x = 281,206.56
  5. Step 5: Solve for x
    x = 281,206.56/614.10
  6. Step 6: Final answer
    x = 457.92

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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.