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Finding the Fourth Proportional to 488.82, 729.68 and 430.44

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Solution

The fourth proportional to 488.82, 729.68 and 430.44 is: 642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.82 : 729.68 = 430.44 : x
  2. Step 2: Convert to fraction form
    488.82/729.68 = 430.44/x
  3. Step 3: Cross multiply
    488.82x = 729.68 × 430.44
  4. Step 4: Simplify right side
    488.82x = 314,083.46
  5. Step 5: Solve for x
    x = 314,083.46/488.82
  6. Step 6: Final answer
    x = 642.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.