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Finding the Fourth Proportional to 430.68, 645.97 and 405.30

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Solution

The fourth proportional to 430.68, 645.97 and 405.30 is: 607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.68 : 645.97 = 405.30 : x
  2. Step 2: Convert to fraction form
    430.68/645.97 = 405.30/x
  3. Step 3: Cross multiply
    430.68x = 645.97 × 405.30
  4. Step 4: Simplify right side
    430.68x = 261,807.40
  5. Step 5: Solve for x
    x = 261,807.40/430.68
  6. Step 6: Final answer
    x = 607.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.