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Finding the Fourth Proportional to 472.64, 651.96 and 325.26

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Solution

The fourth proportional to 472.64, 651.96 and 325.26 is: 448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.64 : 651.96 = 325.26 : x
  2. Step 2: Convert to fraction form
    472.64/651.96 = 325.26/x
  3. Step 3: Cross multiply
    472.64x = 651.96 × 325.26
  4. Step 4: Simplify right side
    472.64x = 212,056.51
  5. Step 5: Solve for x
    x = 212,056.51/472.64
  6. Step 6: Final answer
    x = 448.67

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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.