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Finding the Fourth Proportional to 477.84, 658.82 and 365.95

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Solution

The fourth proportional to 477.84, 658.82 and 365.95 is: 504.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.84 : 658.82 = 365.95 : x
  2. Step 2: Convert to fraction form
    477.84/658.82 = 365.95/x
  3. Step 3: Cross multiply
    477.84x = 658.82 × 365.95
  4. Step 4: Simplify right side
    477.84x = 241,095.18
  5. Step 5: Solve for x
    x = 241,095.18/477.84
  6. Step 6: Final answer
    x = 504.55

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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.