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Finding the Fourth Proportional to 642.34, 960.48 and 459.16

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Solution

The fourth proportional to 642.34, 960.48 and 459.16 is: 686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.34 : 960.48 = 459.16 : x
  2. Step 2: Convert to fraction form
    642.34/960.48 = 459.16/x
  3. Step 3: Cross multiply
    642.34x = 960.48 × 459.16
  4. Step 4: Simplify right side
    642.34x = 441,014.00
  5. Step 5: Solve for x
    x = 441,014.00/642.34
  6. Step 6: Final answer
    x = 686.57

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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.