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Finding the Fourth Proportional to 488.76, 732.83 and 245.45

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Solution

The fourth proportional to 488.76, 732.83 and 245.45 is: 368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.76 : 732.83 = 245.45 : x
  2. Step 2: Convert to fraction form
    488.76/732.83 = 245.45/x
  3. Step 3: Cross multiply
    488.76x = 732.83 × 245.45
  4. Step 4: Simplify right side
    488.76x = 179,868.23
  5. Step 5: Solve for x
    x = 179,868.23/488.76
  6. Step 6: Final answer
    x = 368.01

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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.