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Finding the Fourth Proportional to 570.24, 854.64 and 408.24

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Solution

The fourth proportional to 570.24, 854.64 and 408.24 is: 611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.24 : 854.64 = 408.24 : x
  2. Step 2: Convert to fraction form
    570.24/854.64 = 408.24/x
  3. Step 3: Cross multiply
    570.24x = 854.64 × 408.24
  4. Step 4: Simplify right side
    570.24x = 348,898.23
  5. Step 5: Solve for x
    x = 348,898.23/570.24
  6. Step 6: Final answer
    x = 611.84

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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.