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Finding the Fourth Proportional to 470.04, 648.60 and 293.03

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Solution

The fourth proportional to 470.04, 648.60 and 293.03 is: 404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.04 : 648.60 = 293.03 : x
  2. Step 2: Convert to fraction form
    470.04/648.60 = 293.03/x
  3. Step 3: Cross multiply
    470.04x = 648.60 × 293.03
  4. Step 4: Simplify right side
    470.04x = 190,059.26
  5. Step 5: Solve for x
    x = 190,059.26/470.04
  6. Step 6: Final answer
    x = 404.35

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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.