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Finding the Fourth Proportional to 508.16, 762.26 and 277.17

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Solution

The fourth proportional to 508.16, 762.26 and 277.17 is: 415.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.16 : 762.26 = 277.17 : x
  2. Step 2: Convert to fraction form
    508.16/762.26 = 277.17/x
  3. Step 3: Cross multiply
    508.16x = 762.26 × 277.17
  4. Step 4: Simplify right side
    508.16x = 211,274.22
  5. Step 5: Solve for x
    x = 211,274.22/508.16
  6. Step 6: Final answer
    x = 415.77

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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.