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Finding the Fourth Proportional to 575.07, 792.83 and 457.43

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Solution

The fourth proportional to 575.07, 792.83 and 457.43 is: 630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.07 : 792.83 = 457.43 : x
  2. Step 2: Convert to fraction form
    575.07/792.83 = 457.43/x
  3. Step 3: Cross multiply
    575.07x = 792.83 × 457.43
  4. Step 4: Simplify right side
    575.07x = 362,664.23
  5. Step 5: Solve for x
    x = 362,664.23/575.07
  6. Step 6: Final answer
    x = 630.64

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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.