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Finding the Fourth Proportional to 770.42, 1,155.58 and 250.41

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Solution

The fourth proportional to 770.42, 1,155.58 and 250.41 is: 375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.42 : 1,155.58 = 250.41 : x
  2. Step 2: Convert to fraction form
    770.42/1,155.58 = 250.41/x
  3. Step 3: Cross multiply
    770.42x = 1,155.58 × 250.41
  4. Step 4: Simplify right side
    770.42x = 289,368.79
  5. Step 5: Solve for x
    x = 289,368.79/770.42
  6. Step 6: Final answer
    x = 375.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.