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Finding the Fourth Proportional to 572.27, 856.77 and 535.94

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Solution

The fourth proportional to 572.27, 856.77 and 535.94 is: 802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.27 : 856.77 = 535.94 : x
  2. Step 2: Convert to fraction form
    572.27/856.77 = 535.94/x
  3. Step 3: Cross multiply
    572.27x = 856.77 × 535.94
  4. Step 4: Simplify right side
    572.27x = 459,179.46
  5. Step 5: Solve for x
    x = 459,179.46/572.27
  6. Step 6: Final answer
    x = 802.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.