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Finding the Fourth Proportional to 521.08, 719.26 and 334.86

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Solution

The fourth proportional to 521.08, 719.26 and 334.86 is: 462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.08 : 719.26 = 334.86 : x
  2. Step 2: Convert to fraction form
    521.08/719.26 = 334.86/x
  3. Step 3: Cross multiply
    521.08x = 719.26 × 334.86
  4. Step 4: Simplify right side
    521.08x = 240,851.40
  5. Step 5: Solve for x
    x = 240,851.40/521.08
  6. Step 6: Final answer
    x = 462.22

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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.