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Finding the Fourth Proportional to 430.72, 646.08 and 379.84

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Solution

The fourth proportional to 430.72, 646.08 and 379.84 is: 569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.72 : 646.08 = 379.84 : x
  2. Step 2: Convert to fraction form
    430.72/646.08 = 379.84/x
  3. Step 3: Cross multiply
    430.72x = 646.08 × 379.84
  4. Step 4: Simplify right side
    430.72x = 245,405.20
  5. Step 5: Solve for x
    x = 245,405.20/430.72
  6. Step 6: Final answer
    x = 569.76

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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.