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Finding the Fourth Proportional to 603.16, 832.39 and 471.94

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Solution

The fourth proportional to 603.16, 832.39 and 471.94 is: 651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.16 : 832.39 = 471.94 : x
  2. Step 2: Convert to fraction form
    603.16/832.39 = 471.94/x
  3. Step 3: Cross multiply
    603.16x = 832.39 × 471.94
  4. Step 4: Simplify right side
    603.16x = 392,834.88
  5. Step 5: Solve for x
    x = 392,834.88/603.16
  6. Step 6: Final answer
    x = 651.30

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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.