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Finding the Fourth Proportional to 472, 652.64 and 399.20

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Solution

The fourth proportional to 472, 652.64 and 399.20 is: 551.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472 : 652.64 = 399.20 : x
  2. Step 2: Convert to fraction form
    472/652.64 = 399.20/x
  3. Step 3: Cross multiply
    472x = 652.64 × 399.20
  4. Step 4: Simplify right side
    472x = 260,533.89
  5. Step 5: Solve for x
    x = 260,533.89/472
  6. Step 6: Final answer
    x = 551.98

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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.