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Finding the Fourth Proportional to 677.23, 934.50 and 415.18

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Solution

The fourth proportional to 677.23, 934.50 and 415.18 is: 572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.23 : 934.50 = 415.18 : x
  2. Step 2: Convert to fraction form
    677.23/934.50 = 415.18/x
  3. Step 3: Cross multiply
    677.23x = 934.50 × 415.18
  4. Step 4: Simplify right side
    677.23x = 387,985.71
  5. Step 5: Solve for x
    x = 387,985.71/677.23
  6. Step 6: Final answer
    x = 572.90

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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.