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Finding the Fourth Proportional to 304.50, 454.63 and 258.87

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Solution

The fourth proportional to 304.50, 454.63 and 258.87 is: 386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.50 : 454.63 = 258.87 : x
  2. Step 2: Convert to fraction form
    304.50/454.63 = 258.87/x
  3. Step 3: Cross multiply
    304.50x = 454.63 × 258.87
  4. Step 4: Simplify right side
    304.50x = 117,689.42
  5. Step 5: Solve for x
    x = 117,689.42/304.50
  6. Step 6: Final answer
    x = 386.50

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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.