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Finding the Fourth Proportional to 472.36, 652.08 and 367.74

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Solution

The fourth proportional to 472.36, 652.08 and 367.74 is: 507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.36 : 652.08 = 367.74 : x
  2. Step 2: Convert to fraction form
    472.36/652.08 = 367.74/x
  3. Step 3: Cross multiply
    472.36x = 652.08 × 367.74
  4. Step 4: Simplify right side
    472.36x = 239,795.90
  5. Step 5: Solve for x
    x = 239,795.90/472.36
  6. Step 6: Final answer
    x = 507.65

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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.