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Finding the Fourth Proportional to 430.80, 646.50 and 322.80

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Solution

The fourth proportional to 430.80, 646.50 and 322.80 is: 484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.80 : 646.50 = 322.80 : x
  2. Step 2: Convert to fraction form
    430.80/646.50 = 322.80/x
  3. Step 3: Cross multiply
    430.80x = 646.50 × 322.80
  4. Step 4: Simplify right side
    430.80x = 208,690.20
  5. Step 5: Solve for x
    x = 208,690.20/430.80
  6. Step 6: Final answer
    x = 484.42

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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.