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Finding the Fourth Proportional to 608.76, 839.07 and 431.79

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Solution

The fourth proportional to 608.76, 839.07 and 431.79 is: 595.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.76 : 839.07 = 431.79 : x
  2. Step 2: Convert to fraction form
    608.76/839.07 = 431.79/x
  3. Step 3: Cross multiply
    608.76x = 839.07 × 431.79
  4. Step 4: Simplify right side
    608.76x = 362,302.04
  5. Step 5: Solve for x
    x = 362,302.04/608.76
  6. Step 6: Final answer
    x = 595.15

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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.