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Finding the Fourth Proportional to 430.60, 644.34 and 370.46

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Solution

The fourth proportional to 430.60, 644.34 and 370.46 is: 554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.60 : 644.34 = 370.46 : x
  2. Step 2: Convert to fraction form
    430.60/644.34 = 370.46/x
  3. Step 3: Cross multiply
    430.60x = 644.34 × 370.46
  4. Step 4: Simplify right side
    430.60x = 238,698.97
  5. Step 5: Solve for x
    x = 238,698.97/430.60
  6. Step 6: Final answer
    x = 554.34

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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.