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Finding the Fourth Proportional to 526.27, 726.16 and 305.23

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Solution

The fourth proportional to 526.27, 726.16 and 305.23 is: 421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.27 : 726.16 = 305.23 : x
  2. Step 2: Convert to fraction form
    526.27/726.16 = 305.23/x
  3. Step 3: Cross multiply
    526.27x = 726.16 × 305.23
  4. Step 4: Simplify right side
    526.27x = 221,645.82
  5. Step 5: Solve for x
    x = 221,645.82/526.27
  6. Step 6: Final answer
    x = 421.16

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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.