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Finding the Fourth Proportional to 572.04, 857.61 and 263.70

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Solution

The fourth proportional to 572.04, 857.61 and 263.70 is: 395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.04 : 857.61 = 263.70 : x
  2. Step 2: Convert to fraction form
    572.04/857.61 = 263.70/x
  3. Step 3: Cross multiply
    572.04x = 857.61 × 263.70
  4. Step 4: Simplify right side
    572.04x = 226,151.76
  5. Step 5: Solve for x
    x = 226,151.76/572.04
  6. Step 6: Final answer
    x = 395.34

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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.