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Finding the Fourth Proportional to 469.58, 648.29 and 322.43

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Solution

The fourth proportional to 469.58, 648.29 and 322.43 is: 445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.58 : 648.29 = 322.43 : x
  2. Step 2: Convert to fraction form
    469.58/648.29 = 322.43/x
  3. Step 3: Cross multiply
    469.58x = 648.29 × 322.43
  4. Step 4: Simplify right side
    469.58x = 209,026.53
  5. Step 5: Solve for x
    x = 209,026.53/469.58
  6. Step 6: Final answer
    x = 445.14

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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.