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Finding the Fourth Proportional to 488.02, 731.76 and 305.50

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Solution

The fourth proportional to 488.02, 731.76 and 305.50 is: 458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.02 : 731.76 = 305.50 : x
  2. Step 2: Convert to fraction form
    488.02/731.76 = 305.50/x
  3. Step 3: Cross multiply
    488.02x = 731.76 × 305.50
  4. Step 4: Simplify right side
    488.02x = 223,552.68
  5. Step 5: Solve for x
    x = 223,552.68/488.02
  6. Step 6: Final answer
    x = 458.08

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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.