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Finding the Fourth Proportional to 526.77, 726.77 and 409.22

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Solution

The fourth proportional to 526.77, 726.77 and 409.22 is: 564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.77 : 726.77 = 409.22 : x
  2. Step 2: Convert to fraction form
    526.77/726.77 = 409.22/x
  3. Step 3: Cross multiply
    526.77x = 726.77 × 409.22
  4. Step 4: Simplify right side
    526.77x = 297,403.14
  5. Step 5: Solve for x
    x = 297,403.14/526.77
  6. Step 6: Final answer
    x = 564.58

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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.