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Finding the Fourth Proportional to 630.06, 869.24 and 464.67

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Solution

The fourth proportional to 630.06, 869.24 and 464.67 is: 641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.06 : 869.24 = 464.67 : x
  2. Step 2: Convert to fraction form
    630.06/869.24 = 464.67/x
  3. Step 3: Cross multiply
    630.06x = 869.24 × 464.67
  4. Step 4: Simplify right side
    630.06x = 403,905.40
  5. Step 5: Solve for x
    x = 403,905.40/630.06
  6. Step 6: Final answer
    x = 641.06

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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.