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Finding the Fourth Proportional to 556.58, 768.23 and 346.65

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Solution

The fourth proportional to 556.58, 768.23 and 346.65 is: 478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.58 : 768.23 = 346.65 : x
  2. Step 2: Convert to fraction form
    556.58/768.23 = 346.65/x
  3. Step 3: Cross multiply
    556.58x = 768.23 × 346.65
  4. Step 4: Simplify right side
    556.58x = 266,306.93
  5. Step 5: Solve for x
    x = 266,306.93/556.58
  6. Step 6: Final answer
    x = 478.47

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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.