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Finding the Fourth Proportional to 575.78, 794.70 and 354.92

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Solution

The fourth proportional to 575.78, 794.70 and 354.92 is: 489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.78 : 794.70 = 354.92 : x
  2. Step 2: Convert to fraction form
    575.78/794.70 = 354.92/x
  3. Step 3: Cross multiply
    575.78x = 794.70 × 354.92
  4. Step 4: Simplify right side
    575.78x = 282,050.95
  5. Step 5: Solve for x
    x = 282,050.95/575.78
  6. Step 6: Final answer
    x = 489.86

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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.