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Finding the Fourth Proportional to 770.16, 1,156.41 and 338.16

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Solution

The fourth proportional to 770.16, 1,156.41 and 338.16 is: 507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.16 : 1,156.41 = 338.16 : x
  2. Step 2: Convert to fraction form
    770.16/1,156.41 = 338.16/x
  3. Step 3: Cross multiply
    770.16x = 1,156.41 × 338.16
  4. Step 4: Simplify right side
    770.16x = 391,051.61
  5. Step 5: Solve for x
    x = 391,051.61/770.16
  6. Step 6: Final answer
    x = 507.75

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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.