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Finding the Fourth Proportional to 504.78, 698.49 and 430.98

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Solution

The fourth proportional to 504.78, 698.49 and 430.98 is: 596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.78 : 698.49 = 430.98 : x
  2. Step 2: Convert to fraction form
    504.78/698.49 = 430.98/x
  3. Step 3: Cross multiply
    504.78x = 698.49 × 430.98
  4. Step 4: Simplify right side
    504.78x = 301,035.22
  5. Step 5: Solve for x
    x = 301,035.22/504.78
  6. Step 6: Final answer
    x = 596.37

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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.