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Finding the Fourth Proportional to 529.08, 725.70 and 463.44

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Solution

The fourth proportional to 529.08, 725.70 and 463.44 is: 635.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.08 : 725.70 = 463.44 : x
  2. Step 2: Convert to fraction form
    529.08/725.70 = 463.44/x
  3. Step 3: Cross multiply
    529.08x = 725.70 × 463.44
  4. Step 4: Simplify right side
    529.08x = 336,318.41
  5. Step 5: Solve for x
    x = 336,318.41/529.08
  6. Step 6: Final answer
    x = 635.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.