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Finding the Fourth Proportional to 430.02, 645.01 and 105.38

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Solution

The fourth proportional to 430.02, 645.01 and 105.38 is: 158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.02 : 645.01 = 105.38 : x
  2. Step 2: Convert to fraction form
    430.02/645.01 = 105.38/x
  3. Step 3: Cross multiply
    430.02x = 645.01 × 105.38
  4. Step 4: Simplify right side
    430.02x = 67,967.67
  5. Step 5: Solve for x
    x = 67,967.67/430.02
  6. Step 6: Final answer
    x = 158.06

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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.