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Finding the Fourth Proportional to 470.50, 648.95 and 283.91

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Solution

The fourth proportional to 470.50, 648.95 and 283.91 is: 391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.50 : 648.95 = 283.91 : x
  2. Step 2: Convert to fraction form
    470.50/648.95 = 283.91/x
  3. Step 3: Cross multiply
    470.50x = 648.95 × 283.91
  4. Step 4: Simplify right side
    470.50x = 184,238.73
  5. Step 5: Solve for x
    x = 184,238.73/470.50
  6. Step 6: Final answer
    x = 391.58

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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.