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Finding the Fourth Proportional to 526.29, 726.26 and 305.13

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Solution

The fourth proportional to 526.29, 726.26 and 305.13 is: 421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.29 : 726.26 = 305.13 : x
  2. Step 2: Convert to fraction form
    526.29/726.26 = 305.13/x
  3. Step 3: Cross multiply
    526.29x = 726.26 × 305.13
  4. Step 4: Simplify right side
    526.29x = 221,602.19
  5. Step 5: Solve for x
    x = 221,602.19/526.29
  6. Step 6: Final answer
    x = 421.06

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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.