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Finding the Fourth Proportional to 488.80, 732.01 and 342.69

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Solution

The fourth proportional to 488.80, 732.01 and 342.69 is: 513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.80 : 732.01 = 342.69 : x
  2. Step 2: Convert to fraction form
    488.80/732.01 = 342.69/x
  3. Step 3: Cross multiply
    488.80x = 732.01 × 342.69
  4. Step 4: Simplify right side
    488.80x = 250,852.51
  5. Step 5: Solve for x
    x = 250,852.51/488.80
  6. Step 6: Final answer
    x = 513.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.