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Finding the Fourth Proportional to 511.68, 706.11 and 290.64

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Solution

The fourth proportional to 511.68, 706.11 and 290.64 is: 401.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.68 : 706.11 = 290.64 : x
  2. Step 2: Convert to fraction form
    511.68/706.11 = 290.64/x
  3. Step 3: Cross multiply
    511.68x = 706.11 × 290.64
  4. Step 4: Simplify right side
    511.68x = 205,223.81
  5. Step 5: Solve for x
    x = 205,223.81/511.68
  6. Step 6: Final answer
    x = 401.08

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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.