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Finding the Fourth Proportional to 674.51, 1,011.37 and 309.10

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Solution

The fourth proportional to 674.51, 1,011.37 and 309.10 is: 463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.51 : 1,011.37 = 309.10 : x
  2. Step 2: Convert to fraction form
    674.51/1,011.37 = 309.10/x
  3. Step 3: Cross multiply
    674.51x = 1,011.37 × 309.10
  4. Step 4: Simplify right side
    674.51x = 312,611.17
  5. Step 5: Solve for x
    x = 312,611.17/674.51
  6. Step 6: Final answer
    x = 463.47

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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.