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Finding the Fourth Proportional to 565, 779.82 and 358.12

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Solution

The fourth proportional to 565, 779.82 and 358.12 is: 494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565 : 779.82 = 358.12 : x
  2. Step 2: Convert to fraction form
    565/779.82 = 358.12/x
  3. Step 3: Cross multiply
    565x = 779.82 × 358.12
  4. Step 4: Simplify right side
    565x = 279,269.14
  5. Step 5: Solve for x
    x = 279,269.14/565
  6. Step 6: Final answer
    x = 494.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.