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Finding the Fourth Proportional to 423.84, 584.74 and 258

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Solution

The fourth proportional to 423.84, 584.74 and 258 is: 355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.84 : 584.74 = 258 : x
  2. Step 2: Convert to fraction form
    423.84/584.74 = 258/x
  3. Step 3: Cross multiply
    423.84x = 584.74 × 258
  4. Step 4: Simplify right side
    423.84x = 150,862.92
  5. Step 5: Solve for x
    x = 150,862.92/423.84
  6. Step 6: Final answer
    x = 355.94

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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.