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Finding the Fourth Proportional to 574.90, 793.40 and 476.48

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Solution

The fourth proportional to 574.90, 793.40 and 476.48 is: 657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.90 : 793.40 = 476.48 : x
  2. Step 2: Convert to fraction form
    574.90/793.40 = 476.48/x
  3. Step 3: Cross multiply
    574.90x = 793.40 × 476.48
  4. Step 4: Simplify right side
    574.90x = 378,038.83
  5. Step 5: Solve for x
    x = 378,038.83/574.90
  6. Step 6: Final answer
    x = 657.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.