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Finding the Fourth Proportional to 527.38, 794.64 and 438.07

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Solution

The fourth proportional to 527.38, 794.64 and 438.07 is: 660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.38 : 794.64 = 438.07 : x
  2. Step 2: Convert to fraction form
    527.38/794.64 = 438.07/x
  3. Step 3: Cross multiply
    527.38x = 794.64 × 438.07
  4. Step 4: Simplify right side
    527.38x = 348,107.94
  5. Step 5: Solve for x
    x = 348,107.94/527.38
  6. Step 6: Final answer
    x = 660.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.