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Finding the Fourth Proportional to 511.51, 706.09 and 325.10

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Solution

The fourth proportional to 511.51, 706.09 and 325.10 is: 448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.51 : 706.09 = 325.10 : x
  2. Step 2: Convert to fraction form
    511.51/706.09 = 325.10/x
  3. Step 3: Cross multiply
    511.51x = 706.09 × 325.10
  4. Step 4: Simplify right side
    511.51x = 229,548.23
  5. Step 5: Solve for x
    x = 229,548.23/511.51
  6. Step 6: Final answer
    x = 448.77

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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.