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Finding the Fourth Proportional to 504.96, 760.23 and 461.91

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Solution

The fourth proportional to 504.96, 760.23 and 461.91 is: 695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.96 : 760.23 = 461.91 : x
  2. Step 2: Convert to fraction form
    504.96/760.23 = 461.91/x
  3. Step 3: Cross multiply
    504.96x = 760.23 × 461.91
  4. Step 4: Simplify right side
    504.96x = 351,157.84
  5. Step 5: Solve for x
    x = 351,157.84/504.96
  6. Step 6: Final answer
    x = 695.42

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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.