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Finding the Fourth Proportional to 417.56, 576.78 and 320.51

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Solution

The fourth proportional to 417.56, 576.78 and 320.51 is: 442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.56 : 576.78 = 320.51 : x
  2. Step 2: Convert to fraction form
    417.56/576.78 = 320.51/x
  3. Step 3: Cross multiply
    417.56x = 576.78 × 320.51
  4. Step 4: Simplify right side
    417.56x = 184,862.16
  5. Step 5: Solve for x
    x = 184,862.16/417.56
  6. Step 6: Final answer
    x = 442.73

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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.