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Finding the Fourth Proportional to 430.70, 646.06 and 225.12

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Solution

The fourth proportional to 430.70, 646.06 and 225.12 is: 337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.70 : 646.06 = 225.12 : x
  2. Step 2: Convert to fraction form
    430.70/646.06 = 225.12/x
  3. Step 3: Cross multiply
    430.70x = 646.06 × 225.12
  4. Step 4: Simplify right side
    430.70x = 145,440.46
  5. Step 5: Solve for x
    x = 145,440.46/430.70
  6. Step 6: Final answer
    x = 337.69

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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.