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Finding the Fourth Proportional to 477.63, 658.91 and 278.44

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Solution

The fourth proportional to 477.63, 658.91 and 278.44 is: 384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.63 : 658.91 = 278.44 : x
  2. Step 2: Convert to fraction form
    477.63/658.91 = 278.44/x
  3. Step 3: Cross multiply
    477.63x = 658.91 × 278.44
  4. Step 4: Simplify right side
    477.63x = 183,465.95
  5. Step 5: Solve for x
    x = 183,465.95/477.63
  6. Step 6: Final answer
    x = 384.12

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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.