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Finding the Fourth Proportional to 506, 757.56 and 432.56

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Solution

The fourth proportional to 506, 757.56 and 432.56 is: 647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 757.56 = 432.56 : x
  2. Step 2: Convert to fraction form
    506/757.56 = 432.56/x
  3. Step 3: Cross multiply
    506x = 757.56 × 432.56
  4. Step 4: Simplify right side
    506x = 327,690.15
  5. Step 5: Solve for x
    x = 327,690.15/506
  6. Step 6: Final answer
    x = 647.61

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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.