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Finding the Fourth Proportional to 564.63, 846.98 and 174.66

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Solution

The fourth proportional to 564.63, 846.98 and 174.66 is: 262.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.63 : 846.98 = 174.66 : x
  2. Step 2: Convert to fraction form
    564.63/846.98 = 174.66/x
  3. Step 3: Cross multiply
    564.63x = 846.98 × 174.66
  4. Step 4: Simplify right side
    564.63x = 147,934.90
  5. Step 5: Solve for x
    x = 147,934.90/564.63
  6. Step 6: Final answer
    x = 262.00

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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.