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Finding the Fourth Proportional to 507.51, 764.03 and 346.23

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Solution

The fourth proportional to 507.51, 764.03 and 346.23 is: 521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.51 : 764.03 = 346.23 : x
  2. Step 2: Convert to fraction form
    507.51/764.03 = 346.23/x
  3. Step 3: Cross multiply
    507.51x = 764.03 × 346.23
  4. Step 4: Simplify right side
    507.51x = 264,530.97
  5. Step 5: Solve for x
    x = 264,530.97/507.51
  6. Step 6: Final answer
    x = 521.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.