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Finding the Fourth Proportional to 973.04, 1,459.31 and 279.71

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Solution

The fourth proportional to 973.04, 1,459.31 and 279.71 is: 419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.04 : 1,459.31 = 279.71 : x
  2. Step 2: Convert to fraction form
    973.04/1,459.31 = 279.71/x
  3. Step 3: Cross multiply
    973.04x = 1,459.31 × 279.71
  4. Step 4: Simplify right side
    973.04x = 408,183.60
  5. Step 5: Solve for x
    x = 408,183.60/973.04
  6. Step 6: Final answer
    x = 419.49

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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.