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Finding the Fourth Proportional to 344.84, 476.56 and 282.57

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Solution

The fourth proportional to 344.84, 476.56 and 282.57 is: 390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.84 : 476.56 = 282.57 : x
  2. Step 2: Convert to fraction form
    344.84/476.56 = 282.57/x
  3. Step 3: Cross multiply
    344.84x = 476.56 × 282.57
  4. Step 4: Simplify right side
    344.84x = 134,661.56
  5. Step 5: Solve for x
    x = 134,661.56/344.84
  6. Step 6: Final answer
    x = 390.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.