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Finding the Fourth Proportional to 572.72, 858.17 and 341.06

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Solution

The fourth proportional to 572.72, 858.17 and 341.06 is: 511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.72 : 858.17 = 341.06 : x
  2. Step 2: Convert to fraction form
    572.72/858.17 = 341.06/x
  3. Step 3: Cross multiply
    572.72x = 858.17 × 341.06
  4. Step 4: Simplify right side
    572.72x = 292,687.46
  5. Step 5: Solve for x
    x = 292,687.46/572.72
  6. Step 6: Final answer
    x = 511.05

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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.