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Finding the Fourth Proportional to 527.18, 727.79 and 370.04

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Solution

The fourth proportional to 527.18, 727.79 and 370.04 is: 510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.18 : 727.79 = 370.04 : x
  2. Step 2: Convert to fraction form
    527.18/727.79 = 370.04/x
  3. Step 3: Cross multiply
    527.18x = 727.79 × 370.04
  4. Step 4: Simplify right side
    527.18x = 269,305.92
  5. Step 5: Solve for x
    x = 269,305.92/527.18
  6. Step 6: Final answer
    x = 510.85

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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.