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Finding the Fourth Proportional to 472.60, 652.12 and 262.77

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Solution

The fourth proportional to 472.60, 652.12 and 262.77 is: 362.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.60 : 652.12 = 262.77 : x
  2. Step 2: Convert to fraction form
    472.60/652.12 = 262.77/x
  3. Step 3: Cross multiply
    472.60x = 652.12 × 262.77
  4. Step 4: Simplify right side
    472.60x = 171,354.31
  5. Step 5: Solve for x
    x = 171,354.31/472.60
  6. Step 6: Final answer
    x = 362.58

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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.