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Finding the Fourth Proportional to 588.02, 810.22 and 482.76

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Solution

The fourth proportional to 588.02, 810.22 and 482.76 is: 665.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.02 : 810.22 = 482.76 : x
  2. Step 2: Convert to fraction form
    588.02/810.22 = 482.76/x
  3. Step 3: Cross multiply
    588.02x = 810.22 × 482.76
  4. Step 4: Simplify right side
    588.02x = 391,141.81
  5. Step 5: Solve for x
    x = 391,141.81/588.02
  6. Step 6: Final answer
    x = 665.18

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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.