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Finding the Fourth Proportional to 677.04, 934.35 and 415.11

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Solution

The fourth proportional to 677.04, 934.35 and 415.11 is: 572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.04 : 934.35 = 415.11 : x
  2. Step 2: Convert to fraction form
    677.04/934.35 = 415.11/x
  3. Step 3: Cross multiply
    677.04x = 934.35 × 415.11
  4. Step 4: Simplify right side
    677.04x = 387,858.03
  5. Step 5: Solve for x
    x = 387,858.03/677.04
  6. Step 6: Final answer
    x = 572.87

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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.