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Finding the Fourth Proportional to 446.58, 670.10 and 203.06

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Solution

The fourth proportional to 446.58, 670.10 and 203.06 is: 304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.58 : 670.10 = 203.06 : x
  2. Step 2: Convert to fraction form
    446.58/670.10 = 203.06/x
  3. Step 3: Cross multiply
    446.58x = 670.10 × 203.06
  4. Step 4: Simplify right side
    446.58x = 136,066.14
  5. Step 5: Solve for x
    x = 136,066.14/446.58
  6. Step 6: Final answer
    x = 304.68

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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.