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Finding the Fourth Proportional to 477.67, 658.95 and 412.06

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Solution

The fourth proportional to 477.67, 658.95 and 412.06 is: 568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.67 : 658.95 = 412.06 : x
  2. Step 2: Convert to fraction form
    477.67/658.95 = 412.06/x
  3. Step 3: Cross multiply
    477.67x = 658.95 × 412.06
  4. Step 4: Simplify right side
    477.67x = 271,526.94
  5. Step 5: Solve for x
    x = 271,526.94/477.67
  6. Step 6: Final answer
    x = 568.44

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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.