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Finding the Fourth Proportional to 879.44, 1,319.67 and 332.00

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Solution

The fourth proportional to 879.44, 1,319.67 and 332.00 is: 498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.44 : 1,319.67 = 332.00 : x
  2. Step 2: Convert to fraction form
    879.44/1,319.67 = 332.00/x
  3. Step 3: Cross multiply
    879.44x = 1,319.67 × 332.00
  4. Step 4: Simplify right side
    879.44x = 438,128.79
  5. Step 5: Solve for x
    x = 438,128.79/879.44
  6. Step 6: Final answer
    x = 498.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.