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Finding the Fourth Proportional to 572.83, 857.62 and 366.90

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Solution

The fourth proportional to 572.83, 857.62 and 366.90 is: 549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.83 : 857.62 = 366.90 : x
  2. Step 2: Convert to fraction form
    572.83/857.62 = 366.90/x
  3. Step 3: Cross multiply
    572.83x = 857.62 × 366.90
  4. Step 4: Simplify right side
    572.83x = 314,660.78
  5. Step 5: Solve for x
    x = 314,660.78/572.83
  6. Step 6: Final answer
    x = 549.31

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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.