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Finding the Fourth Proportional to 588.48, 810.60 and 495.12

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Solution

The fourth proportional to 588.48, 810.60 and 495.12 is: 682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.48 : 810.60 = 495.12 : x
  2. Step 2: Convert to fraction form
    588.48/810.60 = 495.12/x
  3. Step 3: Cross multiply
    588.48x = 810.60 × 495.12
  4. Step 4: Simplify right side
    588.48x = 401,344.27
  5. Step 5: Solve for x
    x = 401,344.27/588.48
  6. Step 6: Final answer
    x = 682.00

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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.