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Finding the Fourth Proportional to 472.45, 650.95 and 412.99

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Solution

The fourth proportional to 472.45, 650.95 and 412.99 is: 569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.45 : 650.95 = 412.99 : x
  2. Step 2: Convert to fraction form
    472.45/650.95 = 412.99/x
  3. Step 3: Cross multiply
    472.45x = 650.95 × 412.99
  4. Step 4: Simplify right side
    472.45x = 268,835.84
  5. Step 5: Solve for x
    x = 268,835.84/472.45
  6. Step 6: Final answer
    x = 569.02

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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.