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Finding the Fourth Proportional to 470.14, 648.75 and 295.18

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Solution

The fourth proportional to 470.14, 648.75 and 295.18 is: 407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.14 : 648.75 = 295.18 : x
  2. Step 2: Convert to fraction form
    470.14/648.75 = 295.18/x
  3. Step 3: Cross multiply
    470.14x = 648.75 × 295.18
  4. Step 4: Simplify right side
    470.14x = 191,498.03
  5. Step 5: Solve for x
    x = 191,498.03/470.14
  6. Step 6: Final answer
    x = 407.32

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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.