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Finding the Fourth Proportional to 527.16, 726.98 and 359.48

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Solution

The fourth proportional to 527.16, 726.98 and 359.48 is: 495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.16 : 726.98 = 359.48 : x
  2. Step 2: Convert to fraction form
    527.16/726.98 = 359.48/x
  3. Step 3: Cross multiply
    527.16x = 726.98 × 359.48
  4. Step 4: Simplify right side
    527.16x = 261,334.77
  5. Step 5: Solve for x
    x = 261,334.77/527.16
  6. Step 6: Final answer
    x = 495.74

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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.