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Finding the Fourth Proportional to 526.30, 726.23 and 302.27

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Solution

The fourth proportional to 526.30, 726.23 and 302.27 is: 417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.30 : 726.23 = 302.27 : x
  2. Step 2: Convert to fraction form
    526.30/726.23 = 302.27/x
  3. Step 3: Cross multiply
    526.30x = 726.23 × 302.27
  4. Step 4: Simplify right side
    526.30x = 219,514.67
  5. Step 5: Solve for x
    x = 219,514.67/526.30
  6. Step 6: Final answer
    x = 417.09

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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.