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Finding the Fourth Proportional to 642.42, 886.46 and 362.64

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Solution

The fourth proportional to 642.42, 886.46 and 362.64 is: 500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.42 : 886.46 = 362.64 : x
  2. Step 2: Convert to fraction form
    642.42/886.46 = 362.64/x
  3. Step 3: Cross multiply
    642.42x = 886.46 × 362.64
  4. Step 4: Simplify right side
    642.42x = 321,465.85
  5. Step 5: Solve for x
    x = 321,465.85/642.42
  6. Step 6: Final answer
    x = 500.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.