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Finding the Fourth Proportional to 488.64, 674.33 and 302.14

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Solution

The fourth proportional to 488.64, 674.33 and 302.14 is: 416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.64 : 674.33 = 302.14 : x
  2. Step 2: Convert to fraction form
    488.64/674.33 = 302.14/x
  3. Step 3: Cross multiply
    488.64x = 674.33 × 302.14
  4. Step 4: Simplify right side
    488.64x = 203,741.14
  5. Step 5: Solve for x
    x = 203,741.14/488.64
  6. Step 6: Final answer
    x = 416.96

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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.