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Finding the Fourth Proportional to 526.56, 727.02 and 352.41

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Solution

The fourth proportional to 526.56, 727.02 and 352.41 is: 486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.56 : 727.02 = 352.41 : x
  2. Step 2: Convert to fraction form
    526.56/727.02 = 352.41/x
  3. Step 3: Cross multiply
    526.56x = 727.02 × 352.41
  4. Step 4: Simplify right side
    526.56x = 256,209.12
  5. Step 5: Solve for x
    x = 256,209.12/526.56
  6. Step 6: Final answer
    x = 486.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.