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Finding the Fourth Proportional to 470.02, 648.41 and 283.52

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Solution

The fourth proportional to 470.02, 648.41 and 283.52 is: 391.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.02 : 648.41 = 283.52 : x
  2. Step 2: Convert to fraction form
    470.02/648.41 = 283.52/x
  3. Step 3: Cross multiply
    470.02x = 648.41 × 283.52
  4. Step 4: Simplify right side
    470.02x = 183,833.76
  5. Step 5: Solve for x
    x = 183,833.76/470.02
  6. Step 6: Final answer
    x = 391.12

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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.