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Finding the Fourth Proportional to 573.97, 856.79 and 504.78

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Solution

The fourth proportional to 573.97, 856.79 and 504.78 is: 753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.97 : 856.79 = 504.78 : x
  2. Step 2: Convert to fraction form
    573.97/856.79 = 504.78/x
  3. Step 3: Cross multiply
    573.97x = 856.79 × 504.78
  4. Step 4: Simplify right side
    573.97x = 432,490.46
  5. Step 5: Solve for x
    x = 432,490.46/573.97
  6. Step 6: Final answer
    x = 753.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.