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Finding the Fourth Proportional to 677.64, 934.43 and 415.47

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Solution

The fourth proportional to 677.64, 934.43 and 415.47 is: 572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.64 : 934.43 = 415.47 : x
  2. Step 2: Convert to fraction form
    677.64/934.43 = 415.47/x
  3. Step 3: Cross multiply
    677.64x = 934.43 × 415.47
  4. Step 4: Simplify right side
    677.64x = 388,225.55
  5. Step 5: Solve for x
    x = 388,225.55/677.64
  6. Step 6: Final answer
    x = 572.91

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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.