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Finding the Fourth Proportional to 572.85, 858.37 and 418.07

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Solution

The fourth proportional to 572.85, 858.37 and 418.07 is: 626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.85 : 858.37 = 418.07 : x
  2. Step 2: Convert to fraction form
    572.85/858.37 = 418.07/x
  3. Step 3: Cross multiply
    572.85x = 858.37 × 418.07
  4. Step 4: Simplify right side
    572.85x = 358,858.75
  5. Step 5: Solve for x
    x = 358,858.75/572.85
  6. Step 6: Final answer
    x = 626.44

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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.