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Finding the Fourth Proportional to 977.91, 1,467.08 and 328.63

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Solution

The fourth proportional to 977.91, 1,467.08 and 328.63 is: 493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.91 : 1,467.08 = 328.63 : x
  2. Step 2: Convert to fraction form
    977.91/1,467.08 = 328.63/x
  3. Step 3: Cross multiply
    977.91x = 1,467.08 × 328.63
  4. Step 4: Simplify right side
    977.91x = 482,126.50
  5. Step 5: Solve for x
    x = 482,126.50/977.91
  6. Step 6: Final answer
    x = 493.02

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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.