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Finding the Fourth Proportional to 642.64, 962.52 and 334.79

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Solution

The fourth proportional to 642.64, 962.52 and 334.79 is: 501.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.64 : 962.52 = 334.79 : x
  2. Step 2: Convert to fraction form
    642.64/962.52 = 334.79/x
  3. Step 3: Cross multiply
    642.64x = 962.52 × 334.79
  4. Step 4: Simplify right side
    642.64x = 322,242.07
  5. Step 5: Solve for x
    x = 322,242.07/642.64
  6. Step 6: Final answer
    x = 501.44

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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.