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Finding the Fourth Proportional to 365.84, 505.05 and 282.76

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Solution

The fourth proportional to 365.84, 505.05 and 282.76 is: 390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.84 : 505.05 = 282.76 : x
  2. Step 2: Convert to fraction form
    365.84/505.05 = 282.76/x
  3. Step 3: Cross multiply
    365.84x = 505.05 × 282.76
  4. Step 4: Simplify right side
    365.84x = 142,807.51
  5. Step 5: Solve for x
    x = 142,807.51/365.84
  6. Step 6: Final answer
    x = 390.35

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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.