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Finding the Fourth Proportional to 505, 759.27 and 472.87

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Solution

The fourth proportional to 505, 759.27 and 472.87 is: 710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    505 : 759.27 = 472.87 : x
  2. Step 2: Convert to fraction form
    505/759.27 = 472.87/x
  3. Step 3: Cross multiply
    505x = 759.27 × 472.87
  4. Step 4: Simplify right side
    505x = 359,036.00
  5. Step 5: Solve for x
    x = 359,036.00/505
  6. Step 6: Final answer
    x = 710.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.