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Finding the Fourth Proportional to 572.82, 858.57 and 470.55

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Solution

The fourth proportional to 572.82, 858.57 and 470.55 is: 705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.82 : 858.57 = 470.55 : x
  2. Step 2: Convert to fraction form
    572.82/858.57 = 470.55/x
  3. Step 3: Cross multiply
    572.82x = 858.57 × 470.55
  4. Step 4: Simplify right side
    572.82x = 404,000.11
  5. Step 5: Solve for x
    x = 404,000.11/572.82
  6. Step 6: Final answer
    x = 705.28

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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.