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Finding the Fourth Proportional to 570.62, 854.88 and 310.22

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Solution

The fourth proportional to 570.62, 854.88 and 310.22 is: 464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.62 : 854.88 = 310.22 : x
  2. Step 2: Convert to fraction form
    570.62/854.88 = 310.22/x
  3. Step 3: Cross multiply
    570.62x = 854.88 × 310.22
  4. Step 4: Simplify right side
    570.62x = 265,200.87
  5. Step 5: Solve for x
    x = 265,200.87/570.62
  6. Step 6: Final answer
    x = 464.76

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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.