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Finding the Fourth Proportional to 620.06, 929.28 and 464.76

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Solution

The fourth proportional to 620.06, 929.28 and 464.76 is: 696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.06 : 929.28 = 464.76 : x
  2. Step 2: Convert to fraction form
    620.06/929.28 = 464.76/x
  3. Step 3: Cross multiply
    620.06x = 929.28 × 464.76
  4. Step 4: Simplify right side
    620.06x = 431,892.17
  5. Step 5: Solve for x
    x = 431,892.17/620.06
  6. Step 6: Final answer
    x = 696.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.