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Finding the Fourth Proportional to 430.62, 644.97 and 349.14

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Solution

The fourth proportional to 430.62, 644.97 and 349.14 is: 522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.62 : 644.97 = 349.14 : x
  2. Step 2: Convert to fraction form
    430.62/644.97 = 349.14/x
  3. Step 3: Cross multiply
    430.62x = 644.97 × 349.14
  4. Step 4: Simplify right side
    430.62x = 225,184.83
  5. Step 5: Solve for x
    x = 225,184.83/430.62
  6. Step 6: Final answer
    x = 522.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.