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Finding the Fourth Proportional to 575.74, 794.99 and 469.42

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Solution

The fourth proportional to 575.74, 794.99 and 469.42 is: 648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.74 : 794.99 = 469.42 : x
  2. Step 2: Convert to fraction form
    575.74/794.99 = 469.42/x
  3. Step 3: Cross multiply
    575.74x = 794.99 × 469.42
  4. Step 4: Simplify right side
    575.74x = 373,180.23
  5. Step 5: Solve for x
    x = 373,180.23/575.74
  6. Step 6: Final answer
    x = 648.17

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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.