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Finding the Fourth Proportional to 564.68, 846.45 and 381.65

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Solution

The fourth proportional to 564.68, 846.45 and 381.65 is: 572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.68 : 846.45 = 381.65 : x
  2. Step 2: Convert to fraction form
    564.68/846.45 = 381.65/x
  3. Step 3: Cross multiply
    564.68x = 846.45 × 381.65
  4. Step 4: Simplify right side
    564.68x = 323,043.41
  5. Step 5: Solve for x
    x = 323,043.41/564.68
  6. Step 6: Final answer
    x = 572.08

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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.