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Finding the Fourth Proportional to 973.12, 1,459.65 and 323.85

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Solution

The fourth proportional to 973.12, 1,459.65 and 323.85 is: 485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.12 : 1,459.65 = 323.85 : x
  2. Step 2: Convert to fraction form
    973.12/1,459.65 = 323.85/x
  3. Step 3: Cross multiply
    973.12x = 1,459.65 × 323.85
  4. Step 4: Simplify right side
    973.12x = 472,707.65
  5. Step 5: Solve for x
    x = 472,707.65/973.12
  6. Step 6: Final answer
    x = 485.77

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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.