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Finding the Fourth Proportional to 526.86, 726.36 and 369.28

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Solution

The fourth proportional to 526.86, 726.36 and 369.28 is: 509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.86 : 726.36 = 369.28 : x
  2. Step 2: Convert to fraction form
    526.86/726.36 = 369.28/x
  3. Step 3: Cross multiply
    526.86x = 726.36 × 369.28
  4. Step 4: Simplify right side
    526.86x = 268,230.22
  5. Step 5: Solve for x
    x = 268,230.22/526.86
  6. Step 6: Final answer
    x = 509.11

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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.