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Finding the Fourth Proportional to 603.54, 832.86 and 341.57

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Solution

The fourth proportional to 603.54, 832.86 and 341.57 is: 471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.54 : 832.86 = 341.57 : x
  2. Step 2: Convert to fraction form
    603.54/832.86 = 341.57/x
  3. Step 3: Cross multiply
    603.54x = 832.86 × 341.57
  4. Step 4: Simplify right side
    603.54x = 284,479.99
  5. Step 5: Solve for x
    x = 284,479.99/603.54
  6. Step 6: Final answer
    x = 471.35

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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.