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Finding the Fourth Proportional to 526.49, 726.28 and 428.07

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Solution

The fourth proportional to 526.49, 726.28 and 428.07 is: 590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.49 : 726.28 = 428.07 : x
  2. Step 2: Convert to fraction form
    526.49/726.28 = 428.07/x
  3. Step 3: Cross multiply
    526.49x = 726.28 × 428.07
  4. Step 4: Simplify right side
    526.49x = 310,898.68
  5. Step 5: Solve for x
    x = 310,898.68/526.49
  6. Step 6: Final answer
    x = 590.51

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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.