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Finding the Fourth Proportional to 527.06, 727.71 and 352.91

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Solution

The fourth proportional to 527.06, 727.71 and 352.91 is: 487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.06 : 727.71 = 352.91 : x
  2. Step 2: Convert to fraction form
    527.06/727.71 = 352.91/x
  3. Step 3: Cross multiply
    527.06x = 727.71 × 352.91
  4. Step 4: Simplify right side
    527.06x = 256,816.14
  5. Step 5: Solve for x
    x = 256,816.14/527.06
  6. Step 6: Final answer
    x = 487.26

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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.