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Finding the Fourth Proportional to 350.72, 527.36 and 277.76

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Solution

The fourth proportional to 350.72, 527.36 and 277.76 is: 417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.72 : 527.36 = 277.76 : x
  2. Step 2: Convert to fraction form
    350.72/527.36 = 277.76/x
  3. Step 3: Cross multiply
    350.72x = 527.36 × 277.76
  4. Step 4: Simplify right side
    350.72x = 146,479.51
  5. Step 5: Solve for x
    x = 146,479.51/350.72
  6. Step 6: Final answer
    x = 417.65

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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.