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Finding the Fourth Proportional to 477.23, 658.46 and 302.48

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Solution

The fourth proportional to 477.23, 658.46 and 302.48 is: 417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.23 : 658.46 = 302.48 : x
  2. Step 2: Convert to fraction form
    477.23/658.46 = 302.48/x
  3. Step 3: Cross multiply
    477.23x = 658.46 × 302.48
  4. Step 4: Simplify right side
    477.23x = 199,167.69
  5. Step 5: Solve for x
    x = 199,167.69/477.23
  6. Step 6: Final answer
    x = 417.34

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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.