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Finding the Fourth Proportional to 561.68, 774.84 and 354.80

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Solution

The fourth proportional to 561.68, 774.84 and 354.80 is: 489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.68 : 774.84 = 354.80 : x
  2. Step 2: Convert to fraction form
    561.68/774.84 = 354.80/x
  3. Step 3: Cross multiply
    561.68x = 774.84 × 354.80
  4. Step 4: Simplify right side
    561.68x = 274,913.23
  5. Step 5: Solve for x
    x = 274,913.23/561.68
  6. Step 6: Final answer
    x = 489.45

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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.