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Finding the Fourth Proportional to 527.63, 728.39 and 370.60

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Solution

The fourth proportional to 527.63, 728.39 and 370.60 is: 511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.63 : 728.39 = 370.60 : x
  2. Step 2: Convert to fraction form
    527.63/728.39 = 370.60/x
  3. Step 3: Cross multiply
    527.63x = 728.39 × 370.60
  4. Step 4: Simplify right side
    527.63x = 269,935.84
  5. Step 5: Solve for x
    x = 269,935.84/527.63
  6. Step 6: Final answer
    x = 511.60

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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.