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Finding the Fourth Proportional to 535.80, 799.80 and 471

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Solution

The fourth proportional to 535.80, 799.80 and 471 is: 703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.80 : 799.80 = 471 : x
  2. Step 2: Convert to fraction form
    535.80/799.80 = 471/x
  3. Step 3: Cross multiply
    535.80x = 799.80 × 471
  4. Step 4: Simplify right side
    535.80x = 376,705.80
  5. Step 5: Solve for x
    x = 376,705.80/535.80
  6. Step 6: Final answer
    x = 703.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.