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Finding the Fourth Proportional to 430.52, 645.89 and 307.27

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Solution

The fourth proportional to 430.52, 645.89 and 307.27 is: 460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.52 : 645.89 = 307.27 : x
  2. Step 2: Convert to fraction form
    430.52/645.89 = 307.27/x
  3. Step 3: Cross multiply
    430.52x = 645.89 × 307.27
  4. Step 4: Simplify right side
    430.52x = 198,462.62
  5. Step 5: Solve for x
    x = 198,462.62/430.52
  6. Step 6: Final answer
    x = 460.98

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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.