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Finding the Fourth Proportional to 570.47, 854.90 and 282.11

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Solution

The fourth proportional to 570.47, 854.90 and 282.11 is: 422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.47 : 854.90 = 282.11 : x
  2. Step 2: Convert to fraction form
    570.47/854.90 = 282.11/x
  3. Step 3: Cross multiply
    570.47x = 854.90 × 282.11
  4. Step 4: Simplify right side
    570.47x = 241,176.57
  5. Step 5: Solve for x
    x = 241,176.57/570.47
  6. Step 6: Final answer
    x = 422.77

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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.