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Finding the Fourth Proportional to 575.94, 794.43 and 471.18

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Solution

The fourth proportional to 575.94, 794.43 and 471.18 is: 649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.94 : 794.43 = 471.18 : x
  2. Step 2: Convert to fraction form
    575.94/794.43 = 471.18/x
  3. Step 3: Cross multiply
    575.94x = 794.43 × 471.18
  4. Step 4: Simplify right side
    575.94x = 374,319.53
  5. Step 5: Solve for x
    x = 374,319.53/575.94
  6. Step 6: Final answer
    x = 649.93

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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.