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Finding the Fourth Proportional to 570.11, 854.28 and 467.06

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Solution

The fourth proportional to 570.11, 854.28 and 467.06 is: 699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.11 : 854.28 = 467.06 : x
  2. Step 2: Convert to fraction form
    570.11/854.28 = 467.06/x
  3. Step 3: Cross multiply
    570.11x = 854.28 × 467.06
  4. Step 4: Simplify right side
    570.11x = 398,995.75
  5. Step 5: Solve for x
    x = 398,995.75/570.11
  6. Step 6: Final answer
    x = 699.86

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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.