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Finding the Fourth Proportional to 511.64, 764.94 and 435.48

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Solution

The fourth proportional to 511.64, 764.94 and 435.48 is: 651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.64 : 764.94 = 435.48 : x
  2. Step 2: Convert to fraction form
    511.64/764.94 = 435.48/x
  3. Step 3: Cross multiply
    511.64x = 764.94 × 435.48
  4. Step 4: Simplify right side
    511.64x = 333,116.07
  5. Step 5: Solve for x
    x = 333,116.07/511.64
  6. Step 6: Final answer
    x = 651.08

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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.