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Finding the Fourth Proportional to 504.27, 752.66 and 434.56

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Solution

The fourth proportional to 504.27, 752.66 and 434.56 is: 648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.27 : 752.66 = 434.56 : x
  2. Step 2: Convert to fraction form
    504.27/752.66 = 434.56/x
  3. Step 3: Cross multiply
    504.27x = 752.66 × 434.56
  4. Step 4: Simplify right side
    504.27x = 327,072.17
  5. Step 5: Solve for x
    x = 327,072.17/504.27
  6. Step 6: Final answer
    x = 648.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.