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Finding the Fourth Proportional to 564.68, 846.84 and 333.51

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Solution

The fourth proportional to 564.68, 846.84 and 333.51 is: 500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.68 : 846.84 = 333.51 : x
  2. Step 2: Convert to fraction form
    564.68/846.84 = 333.51/x
  3. Step 3: Cross multiply
    564.68x = 846.84 × 333.51
  4. Step 4: Simplify right side
    564.68x = 282,425.37
  5. Step 5: Solve for x
    x = 282,425.37/564.68
  6. Step 6: Final answer
    x = 500.15

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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.