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Finding the Fourth Proportional to 307.88, 459.14 and 262.52

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Solution

The fourth proportional to 307.88, 459.14 and 262.52 is: 391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.88 : 459.14 = 262.52 : x
  2. Step 2: Convert to fraction form
    307.88/459.14 = 262.52/x
  3. Step 3: Cross multiply
    307.88x = 459.14 × 262.52
  4. Step 4: Simplify right side
    307.88x = 120,533.43
  5. Step 5: Solve for x
    x = 120,533.43/307.88
  6. Step 6: Final answer
    x = 391.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.