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Finding the Fourth Proportional to 470.14, 648.80 and 260.32

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Solution

The fourth proportional to 470.14, 648.80 and 260.32 is: 359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.14 : 648.80 = 260.32 : x
  2. Step 2: Convert to fraction form
    470.14/648.80 = 260.32/x
  3. Step 3: Cross multiply
    470.14x = 648.80 × 260.32
  4. Step 4: Simplify right side
    470.14x = 168,895.62
  5. Step 5: Solve for x
    x = 168,895.62/470.14
  6. Step 6: Final answer
    x = 359.25

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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.