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Finding the Fourth Proportional to 504.86, 756.08 and 284.94

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Solution

The fourth proportional to 504.86, 756.08 and 284.94 is: 426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.86 : 756.08 = 284.94 : x
  2. Step 2: Convert to fraction form
    504.86/756.08 = 284.94/x
  3. Step 3: Cross multiply
    504.86x = 756.08 × 284.94
  4. Step 4: Simplify right side
    504.86x = 215,436.01
  5. Step 5: Solve for x
    x = 215,436.01/504.86
  6. Step 6: Final answer
    x = 426.73

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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.