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Finding the Fourth Proportional to 417.72, 625.74 and 340.56

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Solution

The fourth proportional to 417.72, 625.74 and 340.56 is: 510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.72 : 625.74 = 340.56 : x
  2. Step 2: Convert to fraction form
    417.72/625.74 = 340.56/x
  3. Step 3: Cross multiply
    417.72x = 625.74 × 340.56
  4. Step 4: Simplify right side
    417.72x = 213,102.01
  5. Step 5: Solve for x
    x = 213,102.01/417.72
  6. Step 6: Final answer
    x = 510.16

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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.