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Finding the Fourth Proportional to 526.84, 727.01 and 305.71

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Solution

The fourth proportional to 526.84, 727.01 and 305.71 is: 421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.84 : 727.01 = 305.71 : x
  2. Step 2: Convert to fraction form
    526.84/727.01 = 305.71/x
  3. Step 3: Cross multiply
    526.84x = 727.01 × 305.71
  4. Step 4: Simplify right side
    526.84x = 222,252.03
  5. Step 5: Solve for x
    x = 222,252.03/526.84
  6. Step 6: Final answer
    x = 421.86

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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.