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Finding the Fourth Proportional to 495.84, 744.06 and 276.63

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Solution

The fourth proportional to 495.84, 744.06 and 276.63 is: 415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.84 : 744.06 = 276.63 : x
  2. Step 2: Convert to fraction form
    495.84/744.06 = 276.63/x
  3. Step 3: Cross multiply
    495.84x = 744.06 × 276.63
  4. Step 4: Simplify right side
    495.84x = 205,829.32
  5. Step 5: Solve for x
    x = 205,829.32/495.84
  6. Step 6: Final answer
    x = 415.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.