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Finding the Fourth Proportional to 352.96, 526.50 and 295.55

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Solution

The fourth proportional to 352.96, 526.50 and 295.55 is: 440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.96 : 526.50 = 295.55 : x
  2. Step 2: Convert to fraction form
    352.96/526.50 = 295.55/x
  3. Step 3: Cross multiply
    352.96x = 526.50 × 295.55
  4. Step 4: Simplify right side
    352.96x = 155,606.42
  5. Step 5: Solve for x
    x = 155,606.42/352.96
  6. Step 6: Final answer
    x = 440.86

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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.