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Finding the Fourth Proportional to 526.94, 726.41 and 416.24

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Solution

The fourth proportional to 526.94, 726.41 and 416.24 is: 573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.94 : 726.41 = 416.24 : x
  2. Step 2: Convert to fraction form
    526.94/726.41 = 416.24/x
  3. Step 3: Cross multiply
    526.94x = 726.41 × 416.24
  4. Step 4: Simplify right side
    526.94x = 302,358.82
  5. Step 5: Solve for x
    x = 302,358.82/526.94
  6. Step 6: Final answer
    x = 573.80

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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.