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Finding the Fourth Proportional to 424.79, 588.93 and 409.76

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Solution

The fourth proportional to 424.79, 588.93 and 409.76 is: 568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.79 : 588.93 = 409.76 : x
  2. Step 2: Convert to fraction form
    424.79/588.93 = 409.76/x
  3. Step 3: Cross multiply
    424.79x = 588.93 × 409.76
  4. Step 4: Simplify right side
    424.79x = 241,319.99
  5. Step 5: Solve for x
    x = 241,319.99/424.79
  6. Step 6: Final answer
    x = 568.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.