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Finding the Fourth Proportional to 512.04, 706.14 and 337.08

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Solution

The fourth proportional to 512.04, 706.14 and 337.08 is: 464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.04 : 706.14 = 337.08 : x
  2. Step 2: Convert to fraction form
    512.04/706.14 = 337.08/x
  3. Step 3: Cross multiply
    512.04x = 706.14 × 337.08
  4. Step 4: Simplify right side
    512.04x = 238,025.67
  5. Step 5: Solve for x
    x = 238,025.67/512.04
  6. Step 6: Final answer
    x = 464.86

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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.