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Finding the Fourth Proportional to 469.47, 707.61 and 443.01

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Solution

The fourth proportional to 469.47, 707.61 and 443.01 is: 667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.47 : 707.61 = 443.01 : x
  2. Step 2: Convert to fraction form
    469.47/707.61 = 443.01/x
  3. Step 3: Cross multiply
    469.47x = 707.61 × 443.01
  4. Step 4: Simplify right side
    469.47x = 313,478.31
  5. Step 5: Solve for x
    x = 313,478.31/469.47
  6. Step 6: Final answer
    x = 667.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.