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Finding the Fourth Proportional to 430.04, 645.06 and 411.68

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Solution

The fourth proportional to 430.04, 645.06 and 411.68 is: 617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.04 : 645.06 = 411.68 : x
  2. Step 2: Convert to fraction form
    430.04/645.06 = 411.68/x
  3. Step 3: Cross multiply
    430.04x = 645.06 × 411.68
  4. Step 4: Simplify right side
    430.04x = 265,558.30
  5. Step 5: Solve for x
    x = 265,558.30/430.04
  6. Step 6: Final answer
    x = 617.52

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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.