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Finding the Fourth Proportional to 570.18, 854.52 and 310.29

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Solution

The fourth proportional to 570.18, 854.52 and 310.29 is: 465.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.18 : 854.52 = 310.29 : x
  2. Step 2: Convert to fraction form
    570.18/854.52 = 310.29/x
  3. Step 3: Cross multiply
    570.18x = 854.52 × 310.29
  4. Step 4: Simplify right side
    570.18x = 265,149.01
  5. Step 5: Solve for x
    x = 265,149.01/570.18
  6. Step 6: Final answer
    x = 465.03

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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.