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Finding the Fourth Proportional to 581.91, 804.32 and 511.44

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Solution

The fourth proportional to 581.91, 804.32 and 511.44 is: 706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.91 : 804.32 = 511.44 : x
  2. Step 2: Convert to fraction form
    581.91/804.32 = 511.44/x
  3. Step 3: Cross multiply
    581.91x = 804.32 × 511.44
  4. Step 4: Simplify right side
    581.91x = 411,361.42
  5. Step 5: Solve for x
    x = 411,361.42/581.91
  6. Step 6: Final answer
    x = 706.92

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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.