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Finding the Fourth Proportional to 507.98, 700.98 and 333.56

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Solution

The fourth proportional to 507.98, 700.98 and 333.56 is: 460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.98 : 700.98 = 333.56 : x
  2. Step 2: Convert to fraction form
    507.98/700.98 = 333.56/x
  3. Step 3: Cross multiply
    507.98x = 700.98 × 333.56
  4. Step 4: Simplify right side
    507.98x = 233,818.89
  5. Step 5: Solve for x
    x = 233,818.89/507.98
  6. Step 6: Final answer
    x = 460.29

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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.