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Finding the Fourth Proportional to 368.84, 509.19 and 285.76

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Solution

The fourth proportional to 368.84, 509.19 and 285.76 is: 394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.84 : 509.19 = 285.76 : x
  2. Step 2: Convert to fraction form
    368.84/509.19 = 285.76/x
  3. Step 3: Cross multiply
    368.84x = 509.19 × 285.76
  4. Step 4: Simplify right side
    368.84x = 145,505.70
  5. Step 5: Solve for x
    x = 145,505.70/368.84
  6. Step 6: Final answer
    x = 394.49

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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.