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Finding the Fourth Proportional to 765.36, 1,146.65 and 354.28

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Solution

The fourth proportional to 765.36, 1,146.65 and 354.28 is: 530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.36 : 1,146.65 = 354.28 : x
  2. Step 2: Convert to fraction form
    765.36/1,146.65 = 354.28/x
  3. Step 3: Cross multiply
    765.36x = 1,146.65 × 354.28
  4. Step 4: Simplify right side
    765.36x = 406,227.66
  5. Step 5: Solve for x
    x = 406,227.66/765.36
  6. Step 6: Final answer
    x = 530.77

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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.