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Finding the Fourth Proportional to 527.84, 727.20 and 380.21

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Solution

The fourth proportional to 527.84, 727.20 and 380.21 is: 523.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.84 : 727.20 = 380.21 : x
  2. Step 2: Convert to fraction form
    527.84/727.20 = 380.21/x
  3. Step 3: Cross multiply
    527.84x = 727.20 × 380.21
  4. Step 4: Simplify right side
    527.84x = 276,488.71
  5. Step 5: Solve for x
    x = 276,488.71/527.84
  6. Step 6: Final answer
    x = 523.81

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1.5x scale

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.