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Finding the Fourth Proportional to 527.96, 728.56 and 341.55

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Solution

The fourth proportional to 527.96, 728.56 and 341.55 is: 471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.96 : 728.56 = 341.55 : x
  2. Step 2: Convert to fraction form
    527.96/728.56 = 341.55/x
  3. Step 3: Cross multiply
    527.96x = 728.56 × 341.55
  4. Step 4: Simplify right side
    527.96x = 248,837.96
  5. Step 5: Solve for x
    x = 248,837.96/527.96
  6. Step 6: Final answer
    x = 471.32

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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.