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Finding the Fourth Proportional to 654.42, 981.63 and 307.54

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Solution

The fourth proportional to 654.42, 981.63 and 307.54 is: 461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.42 : 981.63 = 307.54 : x
  2. Step 2: Convert to fraction form
    654.42/981.63 = 307.54/x
  3. Step 3: Cross multiply
    654.42x = 981.63 × 307.54
  4. Step 4: Simplify right side
    654.42x = 301,888.04
  5. Step 5: Solve for x
    x = 301,888.04/654.42
  6. Step 6: Final answer
    x = 461.31

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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.