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Finding the Fourth Proportional to 511.06, 704.45 and 468.69

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Solution

The fourth proportional to 511.06, 704.45 and 468.69 is: 646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.06 : 704.45 = 468.69 : x
  2. Step 2: Convert to fraction form
    511.06/704.45 = 468.69/x
  3. Step 3: Cross multiply
    511.06x = 704.45 × 468.69
  4. Step 4: Simplify right side
    511.06x = 330,168.67
  5. Step 5: Solve for x
    x = 330,168.67/511.06
  6. Step 6: Final answer
    x = 646.05

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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.