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Finding the Fourth Proportional to 470.26, 648.98 and 312.60

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Solution

The fourth proportional to 470.26, 648.98 and 312.60 is: 431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.26 : 648.98 = 312.60 : x
  2. Step 2: Convert to fraction form
    470.26/648.98 = 312.60/x
  3. Step 3: Cross multiply
    470.26x = 648.98 × 312.60
  4. Step 4: Simplify right side
    470.26x = 202,871.15
  5. Step 5: Solve for x
    x = 202,871.15/470.26
  6. Step 6: Final answer
    x = 431.40

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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.