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Finding the Fourth Proportional to 504.98, 756.27 and 285.06

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Solution

The fourth proportional to 504.98, 756.27 and 285.06 is: 426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.98 : 756.27 = 285.06 : x
  2. Step 2: Convert to fraction form
    504.98/756.27 = 285.06/x
  3. Step 3: Cross multiply
    504.98x = 756.27 × 285.06
  4. Step 4: Simplify right side
    504.98x = 215,580.90
  5. Step 5: Solve for x
    x = 215,580.90/504.98
  6. Step 6: Final answer
    x = 426.91

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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.