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Finding the Fourth Proportional to 575.96, 794.66 and 355.08

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Solution

The fourth proportional to 575.96, 794.66 and 355.08 is: 489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.96 : 794.66 = 355.08 : x
  2. Step 2: Convert to fraction form
    575.96/794.66 = 355.08/x
  3. Step 3: Cross multiply
    575.96x = 794.66 × 355.08
  4. Step 4: Simplify right side
    575.96x = 282,167.87
  5. Step 5: Solve for x
    x = 282,167.87/575.96
  6. Step 6: Final answer
    x = 489.91

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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.