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Finding the Fourth Proportional to 478.07, 659.71 and 268.21

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Solution

The fourth proportional to 478.07, 659.71 and 268.21 is: 370.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.07 : 659.71 = 268.21 : x
  2. Step 2: Convert to fraction form
    478.07/659.71 = 268.21/x
  3. Step 3: Cross multiply
    478.07x = 659.71 × 268.21
  4. Step 4: Simplify right side
    478.07x = 176,941.98
  5. Step 5: Solve for x
    x = 176,941.98/478.07
  6. Step 6: Final answer
    x = 370.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.