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Finding the Fourth Proportional to 507.16, 698.29 and 461.03

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Solution

The fourth proportional to 507.16, 698.29 and 461.03 is: 634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.16 : 698.29 = 461.03 : x
  2. Step 2: Convert to fraction form
    507.16/698.29 = 461.03/x
  3. Step 3: Cross multiply
    507.16x = 698.29 × 461.03
  4. Step 4: Simplify right side
    507.16x = 321,927.99
  5. Step 5: Solve for x
    x = 321,927.99/507.16
  6. Step 6: Final answer
    x = 634.77

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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.