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Finding the Fourth Proportional to 307.52, 459.34 and 258.92

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Solution

The fourth proportional to 307.52, 459.34 and 258.92 is: 386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.52 : 459.34 = 258.92 : x
  2. Step 2: Convert to fraction form
    307.52/459.34 = 258.92/x
  3. Step 3: Cross multiply
    307.52x = 459.34 × 258.92
  4. Step 4: Simplify right side
    307.52x = 118,932.31
  5. Step 5: Solve for x
    x = 118,932.31/307.52
  6. Step 6: Final answer
    x = 386.75

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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.