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Finding the Fourth Proportional to 570.45, 854.45 and 433.56

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Solution

The fourth proportional to 570.45, 854.45 and 433.56 is: 649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.45 : 854.45 = 433.56 : x
  2. Step 2: Convert to fraction form
    570.45/854.45 = 433.56/x
  3. Step 3: Cross multiply
    570.45x = 854.45 × 433.56
  4. Step 4: Simplify right side
    570.45x = 370,455.34
  5. Step 5: Solve for x
    x = 370,455.34/570.45
  6. Step 6: Final answer
    x = 649.41

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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.