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Finding the Fourth Proportional to 526.33, 726.13 and 305.24

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Solution

The fourth proportional to 526.33, 726.13 and 305.24 is: 421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.33 : 726.13 = 305.24 : x
  2. Step 2: Convert to fraction form
    526.33/726.13 = 305.24/x
  3. Step 3: Cross multiply
    526.33x = 726.13 × 305.24
  4. Step 4: Simplify right side
    526.33x = 221,638.76
  5. Step 5: Solve for x
    x = 221,638.76/526.33
  6. Step 6: Final answer
    x = 421.11

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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.