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Finding the Fourth Proportional to 505.23, 697.32 and 328.19

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Solution

The fourth proportional to 505.23, 697.32 and 328.19 is: 452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.23 : 697.32 = 328.19 : x
  2. Step 2: Convert to fraction form
    505.23/697.32 = 328.19/x
  3. Step 3: Cross multiply
    505.23x = 697.32 × 328.19
  4. Step 4: Simplify right side
    505.23x = 228,849.96
  5. Step 5: Solve for x
    x = 228,849.96/505.23
  6. Step 6: Final answer
    x = 452.96

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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.