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Finding the Fourth Proportional to 423.12, 584.10 and 307.56

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Solution

The fourth proportional to 423.12, 584.10 and 307.56 is: 424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.12 : 584.10 = 307.56 : x
  2. Step 2: Convert to fraction form
    423.12/584.10 = 307.56/x
  3. Step 3: Cross multiply
    423.12x = 584.10 × 307.56
  4. Step 4: Simplify right side
    423.12x = 179,645.80
  5. Step 5: Solve for x
    x = 179,645.80/423.12
  6. Step 6: Final answer
    x = 424.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.