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Finding the Fourth Proportional to 526.36, 726.54 and 360.50

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Solution

The fourth proportional to 526.36, 726.54 and 360.50 is: 497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.36 : 726.54 = 360.50 : x
  2. Step 2: Convert to fraction form
    526.36/726.54 = 360.50/x
  3. Step 3: Cross multiply
    526.36x = 726.54 × 360.50
  4. Step 4: Simplify right side
    526.36x = 261,917.67
  5. Step 5: Solve for x
    x = 261,917.67/526.36
  6. Step 6: Final answer
    x = 497.60

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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.