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Finding the Fourth Proportional to 446.71, 670.29 and 302.14

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Solution

The fourth proportional to 446.71, 670.29 and 302.14 is: 453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.71 : 670.29 = 302.14 : x
  2. Step 2: Convert to fraction form
    446.71/670.29 = 302.14/x
  3. Step 3: Cross multiply
    446.71x = 670.29 × 302.14
  4. Step 4: Simplify right side
    446.71x = 202,521.42
  5. Step 5: Solve for x
    x = 202,521.42/446.71
  6. Step 6: Final answer
    x = 453.36

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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.