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Finding the Fourth Proportional to 770.47, 1,155.16 and 359.39

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Solution

The fourth proportional to 770.47, 1,155.16 and 359.39 is: 538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.47 : 1,155.16 = 359.39 : x
  2. Step 2: Convert to fraction form
    770.47/1,155.16 = 359.39/x
  3. Step 3: Cross multiply
    770.47x = 1,155.16 × 359.39
  4. Step 4: Simplify right side
    770.47x = 415,149.79
  5. Step 5: Solve for x
    x = 415,149.79/770.47
  6. Step 6: Final answer
    x = 538.82

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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.