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Finding the Fourth Proportional to 602.98, 830.13 and 504.58

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Solution

The fourth proportional to 602.98, 830.13 and 504.58 is: 694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.98 : 830.13 = 504.58 : x
  2. Step 2: Convert to fraction form
    602.98/830.13 = 504.58/x
  3. Step 3: Cross multiply
    602.98x = 830.13 × 504.58
  4. Step 4: Simplify right side
    602.98x = 418,867.00
  5. Step 5: Solve for x
    x = 418,867.00/602.98
  6. Step 6: Final answer
    x = 694.66

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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.