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Finding the Fourth Proportional to 573.23, 856.25 and 563.51

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Solution

The fourth proportional to 573.23, 856.25 and 563.51 is: 841.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.23 : 856.25 = 563.51 : x
  2. Step 2: Convert to fraction form
    573.23/856.25 = 563.51/x
  3. Step 3: Cross multiply
    573.23x = 856.25 × 563.51
  4. Step 4: Simplify right side
    573.23x = 482,498.34
  5. Step 5: Solve for x
    x = 482,498.34/573.23
  6. Step 6: Final answer
    x = 841.73

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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.