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Finding the Fourth Proportional to 575.85, 794.97 and 354.93

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Solution

The fourth proportional to 575.85, 794.97 and 354.93 is: 489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.85 : 794.97 = 354.93 : x
  2. Step 2: Convert to fraction form
    575.85/794.97 = 354.93/x
  3. Step 3: Cross multiply
    575.85x = 794.97 × 354.93
  4. Step 4: Simplify right side
    575.85x = 282,158.70
  5. Step 5: Solve for x
    x = 282,158.70/575.85
  6. Step 6: Final answer
    x = 489.99

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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.