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Finding the Fourth Proportional to 503.51, 759.09 and 468.27

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Solution

The fourth proportional to 503.51, 759.09 and 468.27 is: 705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.51 : 759.09 = 468.27 : x
  2. Step 2: Convert to fraction form
    503.51/759.09 = 468.27/x
  3. Step 3: Cross multiply
    503.51x = 759.09 × 468.27
  4. Step 4: Simplify right side
    503.51x = 355,459.80
  5. Step 5: Solve for x
    x = 355,459.80/503.51
  6. Step 6: Final answer
    x = 705.97

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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.