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Finding the Fourth Proportional to 572.63, 857.72 and 540.68

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Solution

The fourth proportional to 572.63, 857.72 and 540.68 is: 809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.63 : 857.72 = 540.68 : x
  2. Step 2: Convert to fraction form
    572.63/857.72 = 540.68/x
  3. Step 3: Cross multiply
    572.63x = 857.72 × 540.68
  4. Step 4: Simplify right side
    572.63x = 463,749.11
  5. Step 5: Solve for x
    x = 463,749.11/572.63
  6. Step 6: Final answer
    x = 809.87

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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.