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Finding the Fourth Proportional to 307.53, 461.66 and 291.33

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Solution

The fourth proportional to 307.53, 461.66 and 291.33 is: 437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.53 : 461.66 = 291.33 : x
  2. Step 2: Convert to fraction form
    307.53/461.66 = 291.33/x
  3. Step 3: Cross multiply
    307.53x = 461.66 × 291.33
  4. Step 4: Simplify right side
    307.53x = 134,493.95
  5. Step 5: Solve for x
    x = 134,493.95/307.53
  6. Step 6: Final answer
    x = 437.34

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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.