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Finding the Fourth Proportional to 570.24, 853.75 and 433.84

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Solution

The fourth proportional to 570.24, 853.75 and 433.84 is: 649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.24 : 853.75 = 433.84 : x
  2. Step 2: Convert to fraction form
    570.24/853.75 = 433.84/x
  3. Step 3: Cross multiply
    570.24x = 853.75 × 433.84
  4. Step 4: Simplify right side
    570.24x = 370,390.90
  5. Step 5: Solve for x
    x = 370,390.90/570.24
  6. Step 6: Final answer
    x = 649.54

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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.