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Finding the Fourth Proportional to 407.43, 563.04 and 302.67

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Solution

The fourth proportional to 407.43, 563.04 and 302.67 is: 418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.43 : 563.04 = 302.67 : x
  2. Step 2: Convert to fraction form
    407.43/563.04 = 302.67/x
  3. Step 3: Cross multiply
    407.43x = 563.04 × 302.67
  4. Step 4: Simplify right side
    407.43x = 170,415.32
  5. Step 5: Solve for x
    x = 170,415.32/407.43
  6. Step 6: Final answer
    x = 418.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.