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Finding the Fourth Proportional to 527.97, 727.01 and 417.09

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Solution

The fourth proportional to 527.97, 727.01 and 417.09 is: 574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.97 : 727.01 = 417.09 : x
  2. Step 2: Convert to fraction form
    527.97/727.01 = 417.09/x
  3. Step 3: Cross multiply
    527.97x = 727.01 × 417.09
  4. Step 4: Simplify right side
    527.97x = 303,226.52
  5. Step 5: Solve for x
    x = 303,226.52/527.97
  6. Step 6: Final answer
    x = 574.33

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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.