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Finding the Fourth Proportional to 485.76, 670.29 and 289.26

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Solution

The fourth proportional to 485.76, 670.29 and 289.26 is: 399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.76 : 670.29 = 289.26 : x
  2. Step 2: Convert to fraction form
    485.76/670.29 = 289.26/x
  3. Step 3: Cross multiply
    485.76x = 670.29 × 289.26
  4. Step 4: Simplify right side
    485.76x = 193,888.09
  5. Step 5: Solve for x
    x = 193,888.09/485.76
  6. Step 6: Final answer
    x = 399.14

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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.