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Finding the Fourth Proportional to 677, 1,015.29 and 352.19

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Solution

The fourth proportional to 677, 1,015.29 and 352.19 is: 528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    677 : 1,015.29 = 352.19 : x
  2. Step 2: Convert to fraction form
    677/1,015.29 = 352.19/x
  3. Step 3: Cross multiply
    677x = 1,015.29 × 352.19
  4. Step 4: Simplify right side
    677x = 357,574.99
  5. Step 5: Solve for x
    x = 357,574.99/677
  6. Step 6: Final answer
    x = 528.18

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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.