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Finding the Fourth Proportional to 526.22, 726.10 and 339.96

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Solution

The fourth proportional to 526.22, 726.10 and 339.96 is: 469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.22 : 726.10 = 339.96 : x
  2. Step 2: Convert to fraction form
    526.22/726.10 = 339.96/x
  3. Step 3: Cross multiply
    526.22x = 726.10 × 339.96
  4. Step 4: Simplify right side
    526.22x = 246,846.83
  5. Step 5: Solve for x
    x = 246,846.83/526.22
  6. Step 6: Final answer
    x = 469.10

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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.