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Finding the Fourth Proportional to 564.62, 846.70 and 382.06

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Solution

The fourth proportional to 564.62, 846.70 and 382.06 is: 572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.62 : 846.70 = 382.06 : x
  2. Step 2: Convert to fraction form
    564.62/846.70 = 382.06/x
  3. Step 3: Cross multiply
    564.62x = 846.70 × 382.06
  4. Step 4: Simplify right side
    564.62x = 323,488.29
  5. Step 5: Solve for x
    x = 323,488.29/564.62
  6. Step 6: Final answer
    x = 572.94

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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.