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Finding the Fourth Proportional to 527.96, 728.42 and 341.51

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Solution

The fourth proportional to 527.96, 728.42 and 341.51 is: 471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.96 : 728.42 = 341.51 : x
  2. Step 2: Convert to fraction form
    527.96/728.42 = 341.51/x
  3. Step 3: Cross multiply
    527.96x = 728.42 × 341.51
  4. Step 4: Simplify right side
    527.96x = 248,757.36
  5. Step 5: Solve for x
    x = 248,757.36/527.96
  6. Step 6: Final answer
    x = 471.16

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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.