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Finding the Fourth Proportional to 462.51, 638.09 and 296.70

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Solution

The fourth proportional to 462.51, 638.09 and 296.70 is: 409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.51 : 638.09 = 296.70 : x
  2. Step 2: Convert to fraction form
    462.51/638.09 = 296.70/x
  3. Step 3: Cross multiply
    462.51x = 638.09 × 296.70
  4. Step 4: Simplify right side
    462.51x = 189,319.82
  5. Step 5: Solve for x
    x = 189,319.82/462.51
  6. Step 6: Final answer
    x = 409.33

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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.