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Finding the Fourth Proportional to 469.44, 648.32 and 358.08

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Solution

The fourth proportional to 469.44, 648.32 and 358.08 is: 494.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.44 : 648.32 = 358.08 : x
  2. Step 2: Convert to fraction form
    469.44/648.32 = 358.08/x
  3. Step 3: Cross multiply
    469.44x = 648.32 × 358.08
  4. Step 4: Simplify right side
    469.44x = 232,150.43
  5. Step 5: Solve for x
    x = 232,150.43/469.44
  6. Step 6: Final answer
    x = 494.53

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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.