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Finding the Fourth Proportional to 472.02, 652.02 and 393.60

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Solution

The fourth proportional to 472.02, 652.02 and 393.60 is: 543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.02 : 652.02 = 393.60 : x
  2. Step 2: Convert to fraction form
    472.02/652.02 = 393.60/x
  3. Step 3: Cross multiply
    472.02x = 652.02 × 393.60
  4. Step 4: Simplify right side
    472.02x = 256,631.15
  5. Step 5: Solve for x
    x = 256,631.15/472.02
  6. Step 6: Final answer
    x = 543.68

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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.