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Finding the Fourth Proportional to 430.85, 646.38 and 310.03

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Solution

The fourth proportional to 430.85, 646.38 and 310.03 is: 465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.85 : 646.38 = 310.03 : x
  2. Step 2: Convert to fraction form
    430.85/646.38 = 310.03/x
  3. Step 3: Cross multiply
    430.85x = 646.38 × 310.03
  4. Step 4: Simplify right side
    430.85x = 200,395.58
  5. Step 5: Solve for x
    x = 200,395.58/430.85
  6. Step 6: Final answer
    x = 465.11

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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.