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Finding the Fourth Proportional to 307.60, 463.70 and 287.23

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Solution

The fourth proportional to 307.60, 463.70 and 287.23 is: 432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.60 : 463.70 = 287.23 : x
  2. Step 2: Convert to fraction form
    307.60/463.70 = 287.23/x
  3. Step 3: Cross multiply
    307.60x = 463.70 × 287.23
  4. Step 4: Simplify right side
    307.60x = 133,188.55
  5. Step 5: Solve for x
    x = 133,188.55/307.60
  6. Step 6: Final answer
    x = 432.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.