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Finding the Fourth Proportional to 572.16, 858.64 and 206.95

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Solution

The fourth proportional to 572.16, 858.64 and 206.95 is: 310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.16 : 858.64 = 206.95 : x
  2. Step 2: Convert to fraction form
    572.16/858.64 = 206.95/x
  3. Step 3: Cross multiply
    572.16x = 858.64 × 206.95
  4. Step 4: Simplify right side
    572.16x = 177,695.55
  5. Step 5: Solve for x
    x = 177,695.55/572.16
  6. Step 6: Final answer
    x = 310.57

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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.