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Finding the Fourth Proportional to 307.02, 460.07 and 284.24

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Solution

The fourth proportional to 307.02, 460.07 and 284.24 is: 425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.02 : 460.07 = 284.24 : x
  2. Step 2: Convert to fraction form
    307.02/460.07 = 284.24/x
  3. Step 3: Cross multiply
    307.02x = 460.07 × 284.24
  4. Step 4: Simplify right side
    307.02x = 130,770.30
  5. Step 5: Solve for x
    x = 130,770.30/307.02
  6. Step 6: Final answer
    x = 425.93

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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.