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Finding the Fourth Proportional to 570.16, 854.34 and 309.94

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Solution

The fourth proportional to 570.16, 854.34 and 309.94 is: 464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.16 : 854.34 = 309.94 : x
  2. Step 2: Convert to fraction form
    570.16/854.34 = 309.94/x
  3. Step 3: Cross multiply
    570.16x = 854.34 × 309.94
  4. Step 4: Simplify right side
    570.16x = 264,794.14
  5. Step 5: Solve for x
    x = 264,794.14/570.16
  6. Step 6: Final answer
    x = 464.42

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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.