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Finding the Fourth Proportional to 477.02, 658.47 and 302.33

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Solution

The fourth proportional to 477.02, 658.47 and 302.33 is: 417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.02 : 658.47 = 302.33 : x
  2. Step 2: Convert to fraction form
    477.02/658.47 = 302.33/x
  3. Step 3: Cross multiply
    477.02x = 658.47 × 302.33
  4. Step 4: Simplify right side
    477.02x = 199,071.94
  5. Step 5: Solve for x
    x = 199,071.94/477.02
  6. Step 6: Final answer
    x = 417.33

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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.