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Finding the Fourth Proportional to 486.96, 670.44 and 424.68

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Solution

The fourth proportional to 486.96, 670.44 and 424.68 is: 584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.96 : 670.44 = 424.68 : x
  2. Step 2: Convert to fraction form
    486.96/670.44 = 424.68/x
  3. Step 3: Cross multiply
    486.96x = 670.44 × 424.68
  4. Step 4: Simplify right side
    486.96x = 284,722.46
  5. Step 5: Solve for x
    x = 284,722.46/486.96
  6. Step 6: Final answer
    x = 584.69

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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.