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Finding the Fourth Proportional to 677.15, 1,014.95 and 417.33

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Solution

The fourth proportional to 677.15, 1,014.95 and 417.33 is: 625.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.15 : 1,014.95 = 417.33 : x
  2. Step 2: Convert to fraction form
    677.15/1,014.95 = 417.33/x
  3. Step 3: Cross multiply
    677.15x = 1,014.95 × 417.33
  4. Step 4: Simplify right side
    677.15x = 423,567.00
  5. Step 5: Solve for x
    x = 423,567.00/677.15
  6. Step 6: Final answer
    x = 625.52

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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.