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Finding the Fourth Proportional to 973.65, 1,460.76 and 324.39

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Solution

The fourth proportional to 973.65, 1,460.76 and 324.39 is: 486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.65 : 1,460.76 = 324.39 : x
  2. Step 2: Convert to fraction form
    973.65/1,460.76 = 324.39/x
  3. Step 3: Cross multiply
    973.65x = 1,460.76 × 324.39
  4. Step 4: Simplify right side
    973.65x = 473,855.94
  5. Step 5: Solve for x
    x = 473,855.94/973.65
  6. Step 6: Final answer
    x = 486.68

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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.