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Finding the Fourth Proportional to 503.56, 693.66 and 424.36

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Solution

The fourth proportional to 503.56, 693.66 and 424.36 is: 584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.56 : 693.66 = 424.36 : x
  2. Step 2: Convert to fraction form
    503.56/693.66 = 424.36/x
  3. Step 3: Cross multiply
    503.56x = 693.66 × 424.36
  4. Step 4: Simplify right side
    503.56x = 294,361.56
  5. Step 5: Solve for x
    x = 294,361.56/503.56
  6. Step 6: Final answer
    x = 584.56

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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.