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Finding the Fourth Proportional to 526.12, 725.70 and 319.24

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Solution

The fourth proportional to 526.12, 725.70 and 319.24 is: 440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.12 : 725.70 = 319.24 : x
  2. Step 2: Convert to fraction form
    526.12/725.70 = 319.24/x
  3. Step 3: Cross multiply
    526.12x = 725.70 × 319.24
  4. Step 4: Simplify right side
    526.12x = 231,672.47
  5. Step 5: Solve for x
    x = 231,672.47/526.12
  6. Step 6: Final answer
    x = 440.34

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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.