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Finding the Fourth Proportional to 472.55, 652.08 and 262.72

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Solution

The fourth proportional to 472.55, 652.08 and 262.72 is: 362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.55 : 652.08 = 262.72 : x
  2. Step 2: Convert to fraction form
    472.55/652.08 = 262.72/x
  3. Step 3: Cross multiply
    472.55x = 652.08 × 262.72
  4. Step 4: Simplify right side
    472.55x = 171,314.46
  5. Step 5: Solve for x
    x = 171,314.46/472.55
  6. Step 6: Final answer
    x = 362.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.