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Finding the Fourth Proportional to 642.95, 965.49 and 420.95

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Solution

The fourth proportional to 642.95, 965.49 and 420.95 is: 632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.95 : 965.49 = 420.95 : x
  2. Step 2: Convert to fraction form
    642.95/965.49 = 420.95/x
  3. Step 3: Cross multiply
    642.95x = 965.49 × 420.95
  4. Step 4: Simplify right side
    642.95x = 406,423.02
  5. Step 5: Solve for x
    x = 406,423.02/642.95
  6. Step 6: Final answer
    x = 632.12

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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.