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Finding the Fourth Proportional to 488.52, 670.56 and 467.40

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Solution

The fourth proportional to 488.52, 670.56 and 467.40 is: 641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.52 : 670.56 = 467.40 : x
  2. Step 2: Convert to fraction form
    488.52/670.56 = 467.40/x
  3. Step 3: Cross multiply
    488.52x = 670.56 × 467.40
  4. Step 4: Simplify right side
    488.52x = 313,419.74
  5. Step 5: Solve for x
    x = 313,419.74/488.52
  6. Step 6: Final answer
    x = 641.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.