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Finding the Fourth Proportional to 570.10, 854.58 and 364.78

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Solution

The fourth proportional to 570.10, 854.58 and 364.78 is: 546.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.10 : 854.58 = 364.78 : x
  2. Step 2: Convert to fraction form
    570.10/854.58 = 364.78/x
  3. Step 3: Cross multiply
    570.10x = 854.58 × 364.78
  4. Step 4: Simplify right side
    570.10x = 311,733.69
  5. Step 5: Solve for x
    x = 311,733.69/570.10
  6. Step 6: Final answer
    x = 546.81

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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.