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Finding the Fourth Proportional to 677.07, 1,015.74 and 312.12

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Solution

The fourth proportional to 677.07, 1,015.74 and 312.12 is: 468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.07 : 1,015.74 = 312.12 : x
  2. Step 2: Convert to fraction form
    677.07/1,015.74 = 312.12/x
  3. Step 3: Cross multiply
    677.07x = 1,015.74 × 312.12
  4. Step 4: Simplify right side
    677.07x = 317,032.77
  5. Step 5: Solve for x
    x = 317,032.77/677.07
  6. Step 6: Final answer
    x = 468.24

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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.