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Finding the Fourth Proportional to 464.83, 641.47 and 265.70

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Solution

The fourth proportional to 464.83, 641.47 and 265.70 is: 366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.83 : 641.47 = 265.70 : x
  2. Step 2: Convert to fraction form
    464.83/641.47 = 265.70/x
  3. Step 3: Cross multiply
    464.83x = 641.47 × 265.70
  4. Step 4: Simplify right side
    464.83x = 170,438.32
  5. Step 5: Solve for x
    x = 170,438.32/464.83
  6. Step 6: Final answer
    x = 366.67

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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.