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Finding the Fourth Proportional to 488.07, 729.48 and 425.88

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Solution

The fourth proportional to 488.07, 729.48 and 425.88 is: 636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.07 : 729.48 = 425.88 : x
  2. Step 2: Convert to fraction form
    488.07/729.48 = 425.88/x
  3. Step 3: Cross multiply
    488.07x = 729.48 × 425.88
  4. Step 4: Simplify right side
    488.07x = 310,670.94
  5. Step 5: Solve for x
    x = 310,670.94/488.07
  6. Step 6: Final answer
    x = 636.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.