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Finding the Fourth Proportional to 423.60, 584.52 and 307.20

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Solution

The fourth proportional to 423.60, 584.52 and 307.20 is: 423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.60 : 584.52 = 307.20 : x
  2. Step 2: Convert to fraction form
    423.60/584.52 = 307.20/x
  3. Step 3: Cross multiply
    423.60x = 584.52 × 307.20
  4. Step 4: Simplify right side
    423.60x = 179,564.54
  5. Step 5: Solve for x
    x = 179,564.54/423.60
  6. Step 6: Final answer
    x = 423.90

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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.