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Finding the Fourth Proportional to 351.76, 526.96 and 265.65

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Solution

The fourth proportional to 351.76, 526.96 and 265.65 is: 397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.76 : 526.96 = 265.65 : x
  2. Step 2: Convert to fraction form
    351.76/526.96 = 265.65/x
  3. Step 3: Cross multiply
    351.76x = 526.96 × 265.65
  4. Step 4: Simplify right side
    351.76x = 139,986.92
  5. Step 5: Solve for x
    x = 139,986.92/351.76
  6. Step 6: Final answer
    x = 397.96

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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.