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Finding the Fourth Proportional to 672.42, 1,008.30 and 306.98

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Solution

The fourth proportional to 672.42, 1,008.30 and 306.98 is: 460.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.42 : 1,008.30 = 306.98 : x
  2. Step 2: Convert to fraction form
    672.42/1,008.30 = 306.98/x
  3. Step 3: Cross multiply
    672.42x = 1,008.30 × 306.98
  4. Step 4: Simplify right side
    672.42x = 309,522.89
  5. Step 5: Solve for x
    x = 309,522.89/672.42
  6. Step 6: Final answer
    x = 460.31

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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.