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Finding the Fourth Proportional to 572.95, 857.71 and 377.56

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Solution

The fourth proportional to 572.95, 857.71 and 377.56 is: 565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.95 : 857.71 = 377.56 : x
  2. Step 2: Convert to fraction form
    572.95/857.71 = 377.56/x
  3. Step 3: Cross multiply
    572.95x = 857.71 × 377.56
  4. Step 4: Simplify right side
    572.95x = 323,836.99
  5. Step 5: Solve for x
    x = 323,836.99/572.95
  6. Step 6: Final answer
    x = 565.21

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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.