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Finding the Fourth Proportional to 527.07, 727.38 and 409.17

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Solution

The fourth proportional to 527.07, 727.38 and 409.17 is: 564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.07 : 727.38 = 409.17 : x
  2. Step 2: Convert to fraction form
    527.07/727.38 = 409.17/x
  3. Step 3: Cross multiply
    527.07x = 727.38 × 409.17
  4. Step 4: Simplify right side
    527.07x = 297,622.07
  5. Step 5: Solve for x
    x = 297,622.07/527.07
  6. Step 6: Final answer
    x = 564.67

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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.