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Finding the Fourth Proportional to 652.94, 979.65 and 324.02

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Solution

The fourth proportional to 652.94, 979.65 and 324.02 is: 486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.94 : 979.65 = 324.02 : x
  2. Step 2: Convert to fraction form
    652.94/979.65 = 324.02/x
  3. Step 3: Cross multiply
    652.94x = 979.65 × 324.02
  4. Step 4: Simplify right side
    652.94x = 317,421.29
  5. Step 5: Solve for x
    x = 317,421.29/652.94
  6. Step 6: Final answer
    x = 486.14

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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.