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Finding the Fourth Proportional to 564.98, 846.86 and 240.17

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Solution

The fourth proportional to 564.98, 846.86 and 240.17 is: 359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.98 : 846.86 = 240.17 : x
  2. Step 2: Convert to fraction form
    564.98/846.86 = 240.17/x
  3. Step 3: Cross multiply
    564.98x = 846.86 × 240.17
  4. Step 4: Simplify right side
    564.98x = 203,384.93
  5. Step 5: Solve for x
    x = 203,384.93/564.98
  6. Step 6: Final answer
    x = 359.99

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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.