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Finding the Fourth Proportional to 478.04, 659.72 and 268.23

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Solution

The fourth proportional to 478.04, 659.72 and 268.23 is: 370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.04 : 659.72 = 268.23 : x
  2. Step 2: Convert to fraction form
    478.04/659.72 = 268.23/x
  3. Step 3: Cross multiply
    478.04x = 659.72 × 268.23
  4. Step 4: Simplify right side
    478.04x = 176,958.60
  5. Step 5: Solve for x
    x = 176,958.60/478.04
  6. Step 6: Final answer
    x = 370.18

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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.