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Finding the Fourth Proportional to 446.49, 670.19 and 309.06

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Solution

The fourth proportional to 446.49, 670.19 and 309.06 is: 463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.49 : 670.19 = 309.06 : x
  2. Step 2: Convert to fraction form
    446.49/670.19 = 309.06/x
  3. Step 3: Cross multiply
    446.49x = 670.19 × 309.06
  4. Step 4: Simplify right side
    446.49x = 207,127.38
  5. Step 5: Solve for x
    x = 207,127.38/446.49
  6. Step 6: Final answer
    x = 463.90

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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.