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Finding the Fourth Proportional to 526.23, 726.44 and 305.14

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Solution

The fourth proportional to 526.23, 726.44 and 305.14 is: 421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.23 : 726.44 = 305.14 : x
  2. Step 2: Convert to fraction form
    526.23/726.44 = 305.14/x
  3. Step 3: Cross multiply
    526.23x = 726.44 × 305.14
  4. Step 4: Simplify right side
    526.23x = 221,665.47
  5. Step 5: Solve for x
    x = 221,665.47/526.23
  6. Step 6: Final answer
    x = 421.23

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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.