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Finding the Fourth Proportional to 468.58, 646.46 and 364.08

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Solution

The fourth proportional to 468.58, 646.46 and 364.08 is: 502.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.58 : 646.46 = 364.08 : x
  2. Step 2: Convert to fraction form
    468.58/646.46 = 364.08/x
  3. Step 3: Cross multiply
    468.58x = 646.46 × 364.08
  4. Step 4: Simplify right side
    468.58x = 235,363.16
  5. Step 5: Solve for x
    x = 235,363.16/468.58
  6. Step 6: Final answer
    x = 502.29

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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.