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Finding the Fourth Proportional to 570.42, 854.25 and 309.54

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Solution

The fourth proportional to 570.42, 854.25 and 309.54 is: 463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.42 : 854.25 = 309.54 : x
  2. Step 2: Convert to fraction form
    570.42/854.25 = 309.54/x
  3. Step 3: Cross multiply
    570.42x = 854.25 × 309.54
  4. Step 4: Simplify right side
    570.42x = 264,424.55
  5. Step 5: Solve for x
    x = 264,424.55/570.42
  6. Step 6: Final answer
    x = 463.56

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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.