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Finding the Fourth Proportional to 678.04, 934.77 and 538.62

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Solution

The fourth proportional to 678.04, 934.77 and 538.62 is: 742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.04 : 934.77 = 538.62 : x
  2. Step 2: Convert to fraction form
    678.04/934.77 = 538.62/x
  3. Step 3: Cross multiply
    678.04x = 934.77 × 538.62
  4. Step 4: Simplify right side
    678.04x = 503,484.33
  5. Step 5: Solve for x
    x = 503,484.33/678.04
  6. Step 6: Final answer
    x = 742.56

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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.