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Finding the Fourth Proportional to 570.74, 854.73 and 364.68

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Solution

The fourth proportional to 570.74, 854.73 and 364.68 is: 546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.74 : 854.73 = 364.68 : x
  2. Step 2: Convert to fraction form
    570.74/854.73 = 364.68/x
  3. Step 3: Cross multiply
    570.74x = 854.73 × 364.68
  4. Step 4: Simplify right side
    570.74x = 311,702.94
  5. Step 5: Solve for x
    x = 311,702.94/570.74
  6. Step 6: Final answer
    x = 546.14

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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.