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Finding the Fourth Proportional to 570.15, 854.97 and 262.20

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Solution

The fourth proportional to 570.15, 854.97 and 262.20 is: 393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.15 : 854.97 = 262.20 : x
  2. Step 2: Convert to fraction form
    570.15/854.97 = 262.20/x
  3. Step 3: Cross multiply
    570.15x = 854.97 × 262.20
  4. Step 4: Simplify right side
    570.15x = 224,173.13
  5. Step 5: Solve for x
    x = 224,173.13/570.15
  6. Step 6: Final answer
    x = 393.18

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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.