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Finding the Fourth Proportional to 430.22, 644.10 and 424.14

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Solution

The fourth proportional to 430.22, 644.10 and 424.14 is: 635.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.22 : 644.10 = 424.14 : x
  2. Step 2: Convert to fraction form
    430.22/644.10 = 424.14/x
  3. Step 3: Cross multiply
    430.22x = 644.10 × 424.14
  4. Step 4: Simplify right side
    430.22x = 273,188.57
  5. Step 5: Solve for x
    x = 273,188.57/430.22
  6. Step 6: Final answer
    x = 635.00

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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.