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Finding the Fourth Proportional to 511.02, 705.15 and 433.26

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Solution

The fourth proportional to 511.02, 705.15 and 433.26 is: 597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.02 : 705.15 = 433.26 : x
  2. Step 2: Convert to fraction form
    511.02/705.15 = 433.26/x
  3. Step 3: Cross multiply
    511.02x = 705.15 × 433.26
  4. Step 4: Simplify right side
    511.02x = 305,513.29
  5. Step 5: Solve for x
    x = 305,513.29/511.02
  6. Step 6: Final answer
    x = 597.85

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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.