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Finding the Fourth Proportional to 446.07, 670.13 and 316.39

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Solution

The fourth proportional to 446.07, 670.13 and 316.39 is: 475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.07 : 670.13 = 316.39 : x
  2. Step 2: Convert to fraction form
    446.07/670.13 = 316.39/x
  3. Step 3: Cross multiply
    446.07x = 670.13 × 316.39
  4. Step 4: Simplify right side
    446.07x = 212,024.90
  5. Step 5: Solve for x
    x = 212,024.90/446.07
  6. Step 6: Final answer
    x = 475.32

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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.