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Finding the Fourth Proportional to 570.12, 854.42 and 416.12

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Solution

The fourth proportional to 570.12, 854.42 and 416.12 is: 623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.12 : 854.42 = 416.12 : x
  2. Step 2: Convert to fraction form
    570.12/854.42 = 416.12/x
  3. Step 3: Cross multiply
    570.12x = 854.42 × 416.12
  4. Step 4: Simplify right side
    570.12x = 355,534.90
  5. Step 5: Solve for x
    x = 355,534.90/570.12
  6. Step 6: Final answer
    x = 623.61

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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.