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Finding the Fourth Proportional to 526.74, 726.78 and 360.91

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Solution

The fourth proportional to 526.74, 726.78 and 360.91 is: 497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.74 : 726.78 = 360.91 : x
  2. Step 2: Convert to fraction form
    526.74/726.78 = 360.91/x
  3. Step 3: Cross multiply
    526.74x = 726.78 × 360.91
  4. Step 4: Simplify right side
    526.74x = 262,302.17
  5. Step 5: Solve for x
    x = 262,302.17/526.74
  6. Step 6: Final answer
    x = 497.97

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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.