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Finding the Fourth Proportional to 620.40, 929.40 and 577.20

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Solution

The fourth proportional to 620.40, 929.40 and 577.20 is: 864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.40 : 929.40 = 577.20 : x
  2. Step 2: Convert to fraction form
    620.40/929.40 = 577.20/x
  3. Step 3: Cross multiply
    620.40x = 929.40 × 577.20
  4. Step 4: Simplify right side
    620.40x = 536,449.68
  5. Step 5: Solve for x
    x = 536,449.68/620.40
  6. Step 6: Final answer
    x = 864.68

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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.