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Finding the Fourth Proportional to 472.64, 651.54 and 325.01

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Solution

The fourth proportional to 472.64, 651.54 and 325.01 is: 448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.64 : 651.54 = 325.01 : x
  2. Step 2: Convert to fraction form
    472.64/651.54 = 325.01/x
  3. Step 3: Cross multiply
    472.64x = 651.54 × 325.01
  4. Step 4: Simplify right side
    472.64x = 211,759.86
  5. Step 5: Solve for x
    x = 211,759.86/472.64
  6. Step 6: Final answer
    x = 448.04

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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.