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Finding the Fourth Proportional to 472.39, 650.64 and 435.49

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Solution

The fourth proportional to 472.39, 650.64 and 435.49 is: 599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.39 : 650.64 = 435.49 : x
  2. Step 2: Convert to fraction form
    472.39/650.64 = 435.49/x
  3. Step 3: Cross multiply
    472.39x = 650.64 × 435.49
  4. Step 4: Simplify right side
    472.39x = 283,347.21
  5. Step 5: Solve for x
    x = 283,347.21/472.39
  6. Step 6: Final answer
    x = 599.82

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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.