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Finding the Fourth Proportional to 353.10, 486.66 and 302.94

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Solution

The fourth proportional to 353.10, 486.66 and 302.94 is: 417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.10 : 486.66 = 302.94 : x
  2. Step 2: Convert to fraction form
    353.10/486.66 = 302.94/x
  3. Step 3: Cross multiply
    353.10x = 486.66 × 302.94
  4. Step 4: Simplify right side
    353.10x = 147,428.78
  5. Step 5: Solve for x
    x = 147,428.78/353.10
  6. Step 6: Final answer
    x = 417.53

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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.