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Finding the Fourth Proportional to 564.93, 846.32 and 382.14

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Solution

The fourth proportional to 564.93, 846.32 and 382.14 is: 572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.93 : 846.32 = 382.14 : x
  2. Step 2: Convert to fraction form
    564.93/846.32 = 382.14/x
  3. Step 3: Cross multiply
    564.93x = 846.32 × 382.14
  4. Step 4: Simplify right side
    564.93x = 323,410.81
  5. Step 5: Solve for x
    x = 323,410.81/564.93
  6. Step 6: Final answer
    x = 572.48

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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.