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Finding the Fourth Proportional to 603.88, 832.98 and 506.08

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Solution

The fourth proportional to 603.88, 832.98 and 506.08 is: 698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.88 : 832.98 = 506.08 : x
  2. Step 2: Convert to fraction form
    603.88/832.98 = 506.08/x
  3. Step 3: Cross multiply
    603.88x = 832.98 × 506.08
  4. Step 4: Simplify right side
    603.88x = 421,554.52
  5. Step 5: Solve for x
    x = 421,554.52/603.88
  6. Step 6: Final answer
    x = 698.08

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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.