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Finding the Fourth Proportional to 472.10, 650.30 and 435.24

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Solution

The fourth proportional to 472.10, 650.30 and 435.24 is: 599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.10 : 650.30 = 435.24 : x
  2. Step 2: Convert to fraction form
    472.10/650.30 = 435.24/x
  3. Step 3: Cross multiply
    472.10x = 650.30 × 435.24
  4. Step 4: Simplify right side
    472.10x = 283,034.40
  5. Step 5: Solve for x
    x = 283,034.40/472.10
  6. Step 6: Final answer
    x = 599.53

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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.