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Finding the Fourth Proportional to 575.06, 792.82 and 457.44

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Solution

The fourth proportional to 575.06, 792.82 and 457.44 is: 630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.06 : 792.82 = 457.44 : x
  2. Step 2: Convert to fraction form
    575.06/792.82 = 457.44/x
  3. Step 3: Cross multiply
    575.06x = 792.82 × 457.44
  4. Step 4: Simplify right side
    575.06x = 362,667.58
  5. Step 5: Solve for x
    x = 362,667.58/575.06
  6. Step 6: Final answer
    x = 630.66

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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.