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Finding the Fourth Proportional to 470.32, 648.90 and 283.72

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Solution

The fourth proportional to 470.32, 648.90 and 283.72 is: 391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.32 : 648.90 = 283.72 : x
  2. Step 2: Convert to fraction form
    470.32/648.90 = 283.72/x
  3. Step 3: Cross multiply
    470.32x = 648.90 × 283.72
  4. Step 4: Simplify right side
    470.32x = 184,105.91
  5. Step 5: Solve for x
    x = 184,105.91/470.32
  6. Step 6: Final answer
    x = 391.45

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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.