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Finding the Fourth Proportional to 570.16, 858.28 and 440.85

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Solution

The fourth proportional to 570.16, 858.28 and 440.85 is: 663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.16 : 858.28 = 440.85 : x
  2. Step 2: Convert to fraction form
    570.16/858.28 = 440.85/x
  3. Step 3: Cross multiply
    570.16x = 858.28 × 440.85
  4. Step 4: Simplify right side
    570.16x = 378,372.74
  5. Step 5: Solve for x
    x = 378,372.74/570.16
  6. Step 6: Final answer
    x = 663.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.