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Finding the Fourth Proportional to 467.71, 700.89 and 345.67

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Solution

The fourth proportional to 467.71, 700.89 and 345.67 is: 518.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.71 : 700.89 = 345.67 : x
  2. Step 2: Convert to fraction form
    467.71/700.89 = 345.67/x
  3. Step 3: Cross multiply
    467.71x = 700.89 × 345.67
  4. Step 4: Simplify right side
    467.71x = 242,276.65
  5. Step 5: Solve for x
    x = 242,276.65/467.71
  6. Step 6: Final answer
    x = 518.01

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