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Finding the Fourth Proportional to 430.14, 645.30 and 268.02

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Solution

The fourth proportional to 430.14, 645.30 and 268.02 is: 402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.14 : 645.30 = 268.02 : x
  2. Step 2: Convert to fraction form
    430.14/645.30 = 268.02/x
  3. Step 3: Cross multiply
    430.14x = 645.30 × 268.02
  4. Step 4: Simplify right side
    430.14x = 172,953.31
  5. Step 5: Solve for x
    x = 172,953.31/430.14
  6. Step 6: Final answer
    x = 402.09

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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.