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Finding the Fourth Proportional to 477.45, 658.83 and 278.28

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Solution

The fourth proportional to 477.45, 658.83 and 278.28 is: 384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.45 : 658.83 = 278.28 : x
  2. Step 2: Convert to fraction form
    477.45/658.83 = 278.28/x
  3. Step 3: Cross multiply
    477.45x = 658.83 × 278.28
  4. Step 4: Simplify right side
    477.45x = 183,339.21
  5. Step 5: Solve for x
    x = 183,339.21/477.45
  6. Step 6: Final answer
    x = 384.00

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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.