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Finding the Fourth Proportional to 486.51, 672.08 and 462.21

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Solution

The fourth proportional to 486.51, 672.08 and 462.21 is: 638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.51 : 672.08 = 462.21 : x
  2. Step 2: Convert to fraction form
    486.51/672.08 = 462.21/x
  3. Step 3: Cross multiply
    486.51x = 672.08 × 462.21
  4. Step 4: Simplify right side
    486.51x = 310,639.79
  5. Step 5: Solve for x
    x = 310,639.79/486.51
  6. Step 6: Final answer
    x = 638.51

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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.