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Finding the Fourth Proportional to 332.56, 501.01 and 260.74

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Solution

The fourth proportional to 332.56, 501.01 and 260.74 is: 392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.56 : 501.01 = 260.74 : x
  2. Step 2: Convert to fraction form
    332.56/501.01 = 260.74/x
  3. Step 3: Cross multiply
    332.56x = 501.01 × 260.74
  4. Step 4: Simplify right side
    332.56x = 130,633.35
  5. Step 5: Solve for x
    x = 130,633.35/332.56
  6. Step 6: Final answer
    x = 392.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.