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Finding the Fourth Proportional to 527.42, 727.58 and 341.07

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Solution

The fourth proportional to 527.42, 727.58 and 341.07 is: 470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.42 : 727.58 = 341.07 : x
  2. Step 2: Convert to fraction form
    527.42/727.58 = 341.07/x
  3. Step 3: Cross multiply
    527.42x = 727.58 × 341.07
  4. Step 4: Simplify right side
    527.42x = 248,156.56
  5. Step 5: Solve for x
    x = 248,156.56/527.42
  6. Step 6: Final answer
    x = 470.51

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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.