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Finding the Fourth Proportional to 770.40, 1,155.24 and 380.16

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Solution

The fourth proportional to 770.40, 1,155.24 and 380.16 is: 570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.40 : 1,155.24 = 380.16 : x
  2. Step 2: Convert to fraction form
    770.40/1,155.24 = 380.16/x
  3. Step 3: Cross multiply
    770.40x = 1,155.24 × 380.16
  4. Step 4: Simplify right side
    770.40x = 439,176.04
  5. Step 5: Solve for x
    x = 439,176.04/770.40
  6. Step 6: Final answer
    x = 570.06

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Why These Related Problems?

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