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Finding the Fourth Proportional to 577.53, 797.85 and 453.20

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Solution

The fourth proportional to 577.53, 797.85 and 453.20 is: 626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.53 : 797.85 = 453.20 : x
  2. Step 2: Convert to fraction form
    577.53/797.85 = 453.20/x
  3. Step 3: Cross multiply
    577.53x = 797.85 × 453.20
  4. Step 4: Simplify right side
    577.53x = 361,581.63
  5. Step 5: Solve for x
    x = 361,581.63/577.53
  6. Step 6: Final answer
    x = 626.08

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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.