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Finding the Fourth Proportional to 570.64, 855.14 and 296.14

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Solution

The fourth proportional to 570.64, 855.14 and 296.14 is: 443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.64 : 855.14 = 296.14 : x
  2. Step 2: Convert to fraction form
    570.64/855.14 = 296.14/x
  3. Step 3: Cross multiply
    570.64x = 855.14 × 296.14
  4. Step 4: Simplify right side
    570.64x = 253,241.16
  5. Step 5: Solve for x
    x = 253,241.16/570.64
  6. Step 6: Final answer
    x = 443.78

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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.