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Finding the Fourth Proportional to 526.23, 726.44 and 386.10

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Solution

The fourth proportional to 526.23, 726.44 and 386.10 is: 532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.23 : 726.44 = 386.10 : x
  2. Step 2: Convert to fraction form
    526.23/726.44 = 386.10/x
  3. Step 3: Cross multiply
    526.23x = 726.44 × 386.10
  4. Step 4: Simplify right side
    526.23x = 280,476.55
  5. Step 5: Solve for x
    x = 280,476.55/526.23
  6. Step 6: Final answer
    x = 532.99

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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.