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Finding the Fourth Proportional to 505.32, 697.46 and 330.57

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Solution

The fourth proportional to 505.32, 697.46 and 330.57 is: 456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.32 : 697.46 = 330.57 : x
  2. Step 2: Convert to fraction form
    505.32/697.46 = 330.57/x
  3. Step 3: Cross multiply
    505.32x = 697.46 × 330.57
  4. Step 4: Simplify right side
    505.32x = 230,557.70
  5. Step 5: Solve for x
    x = 230,557.70/505.32
  6. Step 6: Final answer
    x = 456.26

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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.