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Finding the Fourth Proportional to 526.40, 726.47 and 305.43

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Solution

The fourth proportional to 526.40, 726.47 and 305.43 is: 421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.40 : 726.47 = 305.43 : x
  2. Step 2: Convert to fraction form
    526.40/726.47 = 305.43/x
  3. Step 3: Cross multiply
    526.40x = 726.47 × 305.43
  4. Step 4: Simplify right side
    526.40x = 221,885.73
  5. Step 5: Solve for x
    x = 221,885.73/526.40
  6. Step 6: Final answer
    x = 421.52

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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.