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Finding the Fourth Proportional to 570.25, 854.37 and 386.99

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Solution

The fourth proportional to 570.25, 854.37 and 386.99 is: 579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.25 : 854.37 = 386.99 : x
  2. Step 2: Convert to fraction form
    570.25/854.37 = 386.99/x
  3. Step 3: Cross multiply
    570.25x = 854.37 × 386.99
  4. Step 4: Simplify right side
    570.25x = 330,631.42
  5. Step 5: Solve for x
    x = 330,631.42/570.25
  6. Step 6: Final answer
    x = 579.80

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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.