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Finding the Fourth Proportional to 357.44, 492.80 and 302.08

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Solution

The fourth proportional to 357.44, 492.80 and 302.08 is: 416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.44 : 492.80 = 302.08 : x
  2. Step 2: Convert to fraction form
    357.44/492.80 = 302.08/x
  3. Step 3: Cross multiply
    357.44x = 492.80 × 302.08
  4. Step 4: Simplify right side
    357.44x = 148,865.02
  5. Step 5: Solve for x
    x = 148,865.02/357.44
  6. Step 6: Final answer
    x = 416.48

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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.