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Finding the Fourth Proportional to 321.57, 482.36 and 78.10

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Solution

The fourth proportional to 321.57, 482.36 and 78.10 is: 117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.57 : 482.36 = 78.10 : x
  2. Step 2: Convert to fraction form
    321.57/482.36 = 78.10/x
  3. Step 3: Cross multiply
    321.57x = 482.36 × 78.10
  4. Step 4: Simplify right side
    321.57x = 37,669.51
  5. Step 5: Solve for x
    x = 37,669.51/321.57
  6. Step 6: Final answer
    x = 117.14

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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.